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 2 tiles to maximize his profit.
B. Mr. Cutler should make 7 bricks and 0 tiles to maximize his profit.
C.
Mr. Cutler should make o bricks and 8 tiles to maximize his profit,
D. Mr. Cutler should make 2 bricks and 7 tiles to maximize his profit.

Mr. Cutler should make 2 bricks and 7 tiles to maximize his profit.

Step-by-step explanation:

Let the no. of bricks be 'b'

Let the no. of tiles be 't'

Time taken for 1 brick = 10 mins

Time taken for 1 tile = 20 mins

Clay used for 1 bick = 3 pounds

Clay used for 1 tile = 2 pounds

Profit on each brick = $2

Profit on each tile = $3

Total time available= 160 mins

Total clay available = 20 pounds

10b + 20t = 160

b + 2t = 16

b = 16 - 2t

3b + 2t = 20

3(16 - 2t) +2t = 20

48 - 6t + 2t = 20

48 - 4t = 20

-4t = 20-48

4t = 28

t = 7

b = 16 - 2t

b = 16 - 14

b = 2

Mr. Cutler should make 2 bricks and 7 tiles to maximize his profit.

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step-by-step explanation:

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