How many nights did the family stay at the park ?

Part A. The company will be successful selling 23 shirts.

Part B. The company will not be successful selling 10 shirts.

Part C. 13 shirts

Step-by-step explanation:

initial cost: $50

cost per shirt: $3

sale price per shirt: $7

number of shirts: x

The cost, y, of x shirts is

y = 3x + 50

Part A.

cost of 23 shirts

y = 3(23) + 50

y = 119

revenue from selling 23 shirts:

23 * $7 = $161

It costs $119 to make 23 shirts. They are sold for $161.

Part A. The company will be successful selling 23 shirts.

Part B.

cost of 10 shirts

y = 3(10) + 50

y = 80

revenue from selling 10 shirts:

10 * $7 = $70

It costs $80 to make 10 shirts. They are sold for $70.

Part B. The company will not be successful selling 10 shirts.

Part C.

To break even, the cost and the revenue must be equal.

Cost of x shirts: 3x + 50

Revenue from selling x shirts: 7x

7x = 3x + 50

4x = 50

x = 12.5

The break even point is 12.5 shirts. Since the number of shirts sold must be a whole number, the break even number is 13.

Part C. 13 shirts.