Question

Kim and Lynn produce pottery vases and bowls. A vase requires 25 oz. of clay and 5 oz. ofglaze. A bowl requires 20 oz. of clay and 10 oz. of glaze. There are 500 oz. of clay available and160 oz. of glaze available. The profit on one vase is »S and the profit on one bowl is $3.

Answer 1

25x + 20y ≤ 500 : Amount used of clay

5x + 10y ≤ 160 : Amount used of glaze

5x + 3y = Total profit

Step-by-step explanation:

Let's say x = the number of vases and y = the number of bowls.

. Since the total amount of clay available is 500 oz, 25 oz are used for a vase and 20 oz for a bowl

=> 25x + 20y ≤ 500

. Since the total amount of glaze available is 160 oz, 5 oz are used for a vase and 10 oz for a bowl

=> 5x + 10y ≤ 160

. Since the profit on a single vase is $5 and the one on a single bowl is $3

=> 5x + 3y = Total possible profit

NB:

I used ≤ because 500 oz and 160 oz are the maximum amounts available.