The wester corporation produces three products with the following costs and selling prices:

product
a b c
selling price per unit
$ 21 $ 12 $ 32
variable cost per unit
$ 11 $ 7 $ 18
fixed cost per unit
5 3 9
direct labor hours per unit 0.4 0.1 0.7
machine hours per unit
0.2 0.5 0.2

the company has insufficient capacity to fulfill all of the demand for these three products.

if machine hours are the constraint, then the ranking of the products from the most profitable to the least profitable use of the constrained resource is:

Product A, then Product C and finally Product B

Explanation:

The unit profit  = Selling price per unit - Variable cost per unit - Fixed cost per unit

Unit Profit of product A = $21 - $11 - $5 = $5

Unit Profit of product B = $12 - $7 - $3 = $2

Unit Profit of product C = $32 - $18 - $9 = $5

The profit of each product in 1 machine hour = 1 hour/ Machine hours per unit * Unit Profit

Profit of Product A in 1 hour using machine = 1/0.2 * $5 = $25

Profit of Product B in 1 hour using machine = 1/0.5*$2 = $4

Profit of Product C in 1 hour using machine = 1/0.2* $5 = $25

Product A & Product C have same profit in 1 hour machine, then we have to consider Direct labor hours per unit which product A is 0.4 while product C is 0.7. It means Product C is more costly in direct labour than Product A.

In short, then the ranking of the products from the most profitable to the least profitable use of the constrained resource is Product A, then Product C and finally Product B

The ranking of the product in terms the most profit to the least profit is A C B

Explanation:

A. B. C

$ $ $

Selling price per unit. 21 12 32

Less: Variable cost. 11 7 18

Contribution margin. 10 5 14

Less: Fixed cost per unit. 5 3 9

Profit. 5 2 5

Since the machine hour is the constraint, we divide the profit by the machine hour per unit

Product A = 5÷0.2 = 25

Product B= 3 ÷ 0.5 = 4

Product C = 5 ÷ 0.2 = 25

Therefore the ranking in terms of most profitable to the least profitable is ACB

muslims control the north africa during the period of 1500 up

to 1800. they made a barrier to prevent further european exploration from

entering the africa from the north. however, the dutch ware still able to move

toward the interior with having south africa as one of the routes leading to

the east for trading with asia.