Question

Mr. Cutler makes clay bricks and clay tiles to sell at maker fairs. It takes him 10 minutes to make a brick and 20 minutes to make a tile. Each brick uses 3 pounds of clay and each tile uses 2 pounds of clay. He has 160 minutes available for making the bricks and tiles and has 20 pounds of clay on hand. If he makes a profit of $2 on each brick and $3 on each tile, how many bricks and tiles should he make to maximize his profit? A. Mr. Cutler should make 7 bricks and 0 tiles to maximize his profit. B. Mr. Cutler should make 2 bricks and 7 tiles to maximize his profit. C. Mr. Cutler should make 7 bricks and 2 tiles to maximize his profit. D. Mr. Cutler should make 0 bricks and 8 tiles to maximize his profit.

Answer 1

Answer:

B. Mr Cutler should make 2 bricks and 7 tiles

Step-by-step explanation:  

Seeing how he makes 2$ for each brick and 3$ for each tile you just test with each of the options to see which one gives you the largest sum.

For A. It says Mr. Cutler should make 7 bricks and 0 tiles, so 2(7) + 3(0)= 14

For B. It says Mr. Cutler should make 2 bricks and 7 tiles, so 2(2)+ 3(7) = 25

For C. It says Mr. Cutler should make 7 bricks and 2 tiles, so 2(7) + 3(2)= 20

For D. It says Mr. Cutler should make 0 bricks and 8 tiles, so 2(0) + 3(8)= 24

I hope this helps.