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Decision making with contribution per limiting factor.
GROUP MEMBERS
ROHIT PANCHAL 1131PANDEY 1132PAPIA 1133AKSHAY 1134
Decision making is a key function of managers which involves choosing between alternatives. There are various types of decisions faced by managers.
examples:a) Make or buy a productb) Accept or reject an orderc) Shutdown or continue operations of a plantd) Introduce a new product or not
Decision making costs:The following are the different types of decision making costs:
TYPE OF COST DEFINITION Relevancy
Outlay cost Costs which involve actual outflow of funds.
Relevant.
Notional cost Costs which do not involve outflow of funds Example: Rent paid on own land.
Relevant.
Opportunity cost Profit foregone by not choosing the next best alternative.
Relevant.
Sunk cost / Historical cost
Costs that are already incurred. Irrelevant.
Limiting factor:
A scarce resource which restricts the output generated or sales volume achieved is called a limiting factor. Limiting factors could be raw material, labor hours, machine hours, money etc. In decisions involving limiting factors contribution approach can be used i.e. contribution per unit of the limiting factor. For instance a unit making multiple products has limited availability of machine hours; the product mix is made based on the contribution per machine hour of the products.
Summary
• The Case Study is about Merrion Products Ltd, which was incorporated and commenced to trade in 20x1.
• Its several shareholders consisted of members of the Carroll family. The business was devoted to the import of a raw material.
• substance which was slightly refined to Irish tastes and sold to various customers around the country.
• There are three member of Carroll family involve in Merrion Co. business.
=> Michael Carroll as a Director in Co. => Una Carroll as a Company Accountant. => Patrick Carroll as a Chief of sales Dept.
• After the success of “A” product. Merrion Ltd decided to introduce new products based on the same raw material but refined in different ways.
• In 2003, product "B" was introduced and product "C" was added the following year.
• In fact demand for all products constantly outstripped production.
• Encouraged by this success of all three products, The product D was introduced based on the same raw material.
• family members concentrated mainly on the administrative and selling side of the business.
Problem in Case
• In 2007political instability in the exporting country resulted in a severe restriction on the availability of this raw material.
• Michael Carroll made direct contact with our usual supplier and he indicated that he will be unable to delivery more than 72,000 Euros of raw materials per quarter until conditions improve and that's not going to be for some time.
• The basic problem, Exporter tells the Michael Carroll is that the material is simply not available in his own country due to the current political situation.
• Michael Carroll enquiries regarding possible alternative suppliers of the same raw material in other countries.
• But during short period no one supplier can fill the gap.
Una Interruption
• I expect that our budgets for the next quarter shall have to be revised - downwards -
• and our profits shall be considerably depressed as a result." She circulated the previously agreed budget.
• It supporting schedules for the forthcoming quarter to participants (Exhibits 1 and 2).
EXHIBIT 1Budget for the quarter ending 31 March 20x7
Euros
Budget sales 200,000
Cost of production 149,500
Gross margin 50,500
Administration expenses 19,900
Distribution expenses 5,700
Sales commission 20,000
Financial expenses 800 46,400
Budgeted Net Profit 4,100
EXHIBIT 2Schedule of Revenue and Production Costs per Product.
Product A B C D
Sales price 20 40 30 20
Direct material (imported) 7 16 13 10
Direct labour and packing 3 4 6 4
Production overhead 4 5 6 5
Budget sales (units) 1,500 2,000 2,000 1,500
NOTE: Production overhead includes both fixed and variable expense. The estimated fixed overhead for the forthcoming quarter amounts to 20,000 euros and has been apportioned to each product on the basis of total anticipated sales revenue for each product.
Michael Carroll accepted that the point was valid. After much discussion all family members agreed
that maximum sales value of each product at current prices
Product Euros
A 60,000
B 88,000
C 63,000
D 40,000
Michael Carroll : I recommend that we produce a minimum of 1,000 units of each product during the forthcoming quarter.Una Carroll : If you feel that there is a single, best way to utilise our production facilities in these circumstances now is the ideal time . let us know.
Requirements1. Prepare a statement showing the most profitable production plan for
Merrion Products Ltd. for the forthcoming quarter. Prepare a detailed profit and loss account to accompany your recommendation. Explain your workings.
2. Calculate the firm's break-even point for the forthcoming quarter. What fundamental assumptions have you made?
3. What is the "opportunity cost", if any, associated with the minimum production of 1,000 units of each product?
4. Assuming it was possible to increase all selling prices by 7 euros per unit without influencing demand, would this price increase effect your analysis. Explain.
SOLUTION. 1 Most Profitable Production Plan
• Merrion Products Ltd. has their budgeted sales as well as production and net profit for the first quarter of year 2007.
• Basic criteria raw material available up to 72000 Euros only; definite limit over the sales; and minimum production of 1000 units for each product.
To draw out the new plan, we start first by identifying profitable production and their priority as well.
Product A B C D
Sales price 20 40 30 20
Direct material (imported) 7 16 13 10
Direct labour and packing 3 4 6 4
Production overhead 4 5 6 5
Budget sales (units) 1,500 2,000 2,000 1,500
Budget sales revenue 30,000 80,000 60,000 30,000
Contribution over each euro of sales 0.300 0.375 0.167 0.050
Profit generated over each euro of imported raw material
0.857 0.938 0.385 0.100
Priority of utilization contribution and imported raw materials
2 1 3 4
The fixed production overhead is estimated to be 20,000 euros and been apportioned to each product based on total anticipated sales revenue for each product. This concludes that the firm has been using “Absorption Costing”
we stop using the absorption costing and impose marginal costing method. For that purpose, we identify and reverse
apportion the fixed production costing as below.
Product A B C D
Budget sales (units) 1,500 2,000 2,000 1,500
Budget sales revenue 30,000 80,000 60,000 30,000
Production overhead (absorption) 4 5 6 5
Total Production overhead 6,000 10,000 12,000 7,500
Fixed Production overhead 3,000 8,000 6,000 3,000
Production overhead (marginal) 2 1 3 3
Now, we take the new production overhead cost into count and reconstruct the most profitable product table once again. This will increase the level of contribution and utilization of raw material for each of the product line
the same priority of most profitable product
Product A B C D
Sale price 20 40 30 20
Direct Material ( Imported ) 7 16 13 10
Direct labour and packaging 3 4 6 4
Production overhead 2 1 3 3
Budget sales (units) 1,500 2,000 2,000 1,500
Budget sales revenue 30,000 80,000 60,000 30,000
Contribution over each euro of sales 0.400 0.475 0.267 0.150
Profit generated over each euro of imported raw material
1.143 1.188 0.615 0.300
Priority of utilization contribution and imported raw materials
2 1 3 4
Now we construct the new plan. But start with the condition applied by the board of members
we must produce at least 1000 units for each product line.
Product A B C D Total
Sales Price 20 40 30 20 110
Direct Material ( Imported ) 7 16 13 10 46
Direct labour and packaging 3 4 6 4 17
Production overhead 2 1 3 3 9
Sales (units) 1,000 1,000 1,000 1,000 4,000
Sales revenue 20,000 40,000 30,000 20,000 1,10,000
Consumed raw material 7,000 16,000 13,000 10,000 46,000
* We revise the sales of product B to maximum sales value as it is the first most profitable product.
(88000/40 = 2200 units maximum sales) Product A B C D Total
Sales (units) 1,000 2,200 1,000 1,000 5,2000
Sales revenue 20,000 88,000 30,000 20,000 1,58,000
Consumed raw material 7,000 35,200 13,000 10,000 65,200
Product A B C D Total
Sales (units) 1,971 2,200 1,000 1,000 6171
Sales revenue 39420 88,000 30,000 20,000 177420
Consumed raw material 13797 35,200 13,000 10,000 71997
* We revise the sales of product A to the maximum of available raw material resources and it is the second most. (Floor((72000-65200)/7)=971 units additional sales)
Finally, we conclude our findings as in this quarter; buy and consume imported raw material up to 71,997 Euros, we will need to sell 6171 units of products, and over the sales we will make 177,420 Euros. Now we present the final statement together the profit and loss account.
Most Profitable Production Plan
Product A B C D Total
Sales Price 20 40 30 20 110
Direct Material ( Imported ) 7 16 13 10 46
Direct labour and packaging 3 4 6 4 17
Production overhead 2 1 3 3 9
Sales (units) 1,971 2,200 1,000 1,000 6,171
Cost of sales 23,652 46,200 22,000 17,000 1,08,852
Sales revenue 39420 88,000 30,000 20,000 177420
Profit and Loss Account Statement
Budget sales 177420
Cost of production 108852
Gross margin 68568
Less: Fixed production overhead 20000
48568
Administration expenses 19900
Distribution expenses 5,700
Sales commission 17742
Financial expenses 800 44142
Budgeted Net Profit 4,426
Break even point:
The break-even point (BEP) is the point at which cost or expenses and revenue are equal: there is no net loss or gain.
Solution 2. BREAK EVEN POINT Merrion Products Ltd is having multiple product line. Therefore, before calculating the break
even point, we need to assume some criteria such as:
• 1. The price of the each product is constant. This means the product A should not be sold at price 10 Euros to customer A and 20 Euros to customer B. They should be constant either 10 Euros or 20Euros to both customer A and B.
• 2. Cost is linear. When production increases, cost should increase in same
ratio. For example if the product 1000 unit of product D is 17000 Euro, then the 2000 units of its production should cost 34000 Euro whereas it grow in linear, same ratio.
• 3. We assume the sales mix price is same and constant and we use average contribution on them. For example, if 10% of Product A sales drop, then 10% of Product B, Product C, as well as Product D sales must also drop – we assume so to generate the break even.
• 4. The 10% of sales revenue is solid commission and therefore we assume this 10% as our variable cost.
This results to variables cost of every product to rise by 10% and contribution reduces.
Product A B C D Total
Sales Price 20 40 30 20 110
Cost of sales 12 21 22 17 72
contribution 8 19 8 3 38
Contribution (after commission) 6 15 5 1 27
Sales (units) 1,971 2,200 1,000 1,000 6,171
Sales revenue 39,420 88,000 30,000 20,000 177420
Sales weight 22.22% 49.60% 16.91% 11.27% 100.00%
*Fixed cost = Expenses - Commission + Fixed production overhead = 44142-17742+20000 = 46400 Break even point in sales revenue = Fixed cost / Weighted average P/V ratio = 46400 27 / 110 = 189,037 Euros sales Break even point in sales unit = Fixed cost/Weighted average contribution margin per unit =46400/27 =1,719 units of product
OPPORTUNITY COST:
Opportunity cost is the cost of any activity measured in terms of the value of the next best alternative forgone (that is not chosen). It is the sacrifice related to the second best choice available to someone, or group, who has picked among several mutually exclusive choices.
Solution 3. OPPORTUNITY COST There is an opportunity for the decision of producing 1000 units for each product line.
Product A B C D TotalSales Price 20 40 30 20 110Direct Material ( Imported ) 7 16 13 10 46Sales (units) 1,971 2,200 1,000 1,000 6,171 Consumed raw material 13797 35,200 13,000 10,000 71997 Sales revenue 39420 88,000 30,000 20,000 177420
Product A B C D Total
Sales Price 20 40 30 20 110
Direct Material ( Imported ) 7 16 13 10 46
Sales (units) 3,000 2,200 1215 0 6415
Consumed raw material 21,000 35,200 15,795 0 71997
Sales revenue 60,000 88,000 36450 0 184450
If we are not restricted to minimum of 1000 units for each product line:
If we produce minimum of 1000 units for each product line:
Opportunity cost = Sales without minimum 1000 - Sales with minimum 1000
= 184450- 177420 = 7030 Euros
• Conclusion= Merrion Products Ltd forgoes 7030 Euros due to the decision of producing minimum 1000 units per product line. This is their opportunity cost.
Solution 4. INFLUENCE OF PRICE • When the price increases by 7 Euro for each product, this will impact
the analysis. The reason is, we had designed the plan based on most profitable product whereas Product B is first and followed by Product A, C and D.
• Most profitable product refers to products that make the firm earn larger piece of profit by optimizing contribution over each Euro of sales and utilizing usage of imported raw material which very limited in our case.
• Now, when the price is revised, the most profitable product priority changes respectively to be Product A first, and followed by Product B, C, and D. Below is the table to illustrate the situation:
.Product A B C D
Sale price 27 47 37 27
Direct Material ( Imported ) 7 16 13 10
Direct labour and packaging 3 4 6 4
Production overhead 2 1 3 3
Total variable cost 12 21 22 17
Total contribution 15 26 15 10
Contribution over each euro of sales 0.556 0.556 0.405 0.370
Profit generated over each euro of imported raw material
2.143 1.625 1.154 1.000
Priority of utilization contribution and imported raw materials
1 2 3 4
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