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 $3 on each tile, how many bricks and tiles should he make to maximize his profit?
Answers
Maximum Profit
Step-by-step explanation:
Step 1:
Pounds of clay used to make 1 brick = 3 lb
Pounds of clay used to make 1 tile = 2 lb
Total pounds available to maximize profit = 20 lb
Step 2:
Time to make 1 brick = 10 min
Time to make 1 tile = 20 min
Total time to make and maximize profit = 160 min
Step 3:
Total profit on 1 brick = 2$
Total profit on 1 tile = 3$
Step 4:
If Mr. Cutler makes 7 tiles using 14 pounds of clay and 2 bricks using 6 pounds of clay then he'll make the maximum profit within the 160 mins window.
7 tiles = 3$ x 7 = 21 $
2 bricks = 2$ x 2 = 4$
Maximum Profit = 25$
Step 5:
Time to make each tile, 20 mins x 7= 140 mins
Time to make each brick, 10 mins x 2 = 20 mins
Total Time = 160 mins
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Maximum Profit
Step-by-step explanation:
Step 1:
Pounds of clay used to make 1 brick = 3 lb
Pounds of clay used to make 1 tile = 2 lb
Total pounds available to maximize profit = 20 lb
Step 2:
Time to make 1 brick = 10 min
Time to make 1 tile = 20 min
Total time to make and maximize profit = 160 min
Step 3:
Total profit on 1 brick = 2$
Total profit on 1 tile = 3$
Step 4:
If Mr. Cutler makes 7 tiles using 14 pounds of clay and 2 bricks using 6 pounds of clay then he'll make the maximum profit within the 160 mins window.
7 tiles = 3$ x 7 = 21 $
2 bricks = 2$ x 2 = 4$
Maximum Profit = 25$
Step 5:
Time to make each tile, 20 mins x 7= 140 mins
Time to make each brick, 10 mins x 2 = 20 mins
Total Time = 160 mins