Question

Efficient Homemakers Ltd. makes canvas wallets and leather wallets as part of a money-making project. For the canvas wallets, they need two yards of canvas and two yards of leather. For the leather wallets, they need four yards of leather and three yards of canvas. Their production unit has purchased 44 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 for both wallets.

Answer 1

`f(x,y)=40x+25y`

Explanation:

For the canvas wallets, they need two yards of canvas and two yards of leather.

For the leather wallets, they need four yards of leather and three yards of canvas.

Let x be the number of leather wallets.

Let y be the number of canvas wallets.

`40x` is the $40 profit per wallet for x leather wallets.

`25y` is the $25 profit per wallet for y canvas wallets.

`f(x,y)=40x+25y`

Answer 2

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

Explanation:

We are given that Efficient Homemakers Ltd. makes canvas wallets and leather wallets as their project.

Assuming
`x` to be the number of leather wallets and
`y` to be the number of canvas wallets, we are to write a function showing their total profit for both wallets.

Profit on canvas wallet (
`y`) = $25

Profit on leather wallet (
`x`) = $40

Total profit from both wallets:

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