Question

Efficient Homemakers Ltd. makes canvas wallets and leather wallets as part of a money making project. For the canvas wallets, they need three yards of canvas and two yards of leather. For the leather wallets, they need three yards of leather and two yards of canvas. Their production unit has purchased 36 yards of leather and 40 yards of canvas. Let x be the number of leather wallets and y be the number of canvas wallets. If the profit on a canvas wallet is $25 and the profit on a leather wallet is $40, write a function for the total profit on both wallets.

Answer 1

Answer: F(x, y) = 40x + 25y

Explanation:

Given the following :

x = number of leather wallets

y = number of canvas wallets

PROFIT on canvas wallet = $25

PROFIT on leather wallet = $40

Function that calculates the total profit on both wallets:

Profit on each wallet type is the product of the profit per wallet and the number of wallet.

The total profit generated on each wallet type is given by :

F(x) = 40x - - - - (1) leather wallet

F(y) = 25y - - - - (2) canvas wallet

Adding (1) and (2) to get total profit on both wallets:

F(x, y) = 40x + 25y