Question
A business makes three products A, B, and C. all three products require the use of two types of machine: cutting machines and assembling machines.
A business makes three products A, B, and C. all three products require the use of two types of machine: cutting machines and assembling machines. Estimates for next year include the following:
Product | A | B | C |
Selling price ( per unit) | 25 | 30 | 18 |
Sales demand (units) | 2,500 | 3,400 | 5,100 |
Material cost per unit ( per unit) | 12 | 13 | 10 |
Variable production cost ( per unit) | 7 | 4 | 3 |
Time required per unit on cutting machines (hours) | 1 | 1 | 0.5 |
Time required per unit on assembling machines (hours) | 0.5 | 1 | 0.5 |
Fixed cost for next year is expected to total 42,000
The business has a cutting machine capacity of 5,000 hours a year and assembling machine capacity of 8,000 hours a year.
Required
1. State, with supporting workings, which products and in what quantities the business should plan to make next year on the basis of the above information.
2. What is the maximum price per product that it would be worth the business paying to a sub-contractor to carry out the part of the work that could not be done internally?
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