Answer
a. -150 dollars
b. 300 dollars
c. 867 t-shirts
Work Step by Step
We are given the formula, P = 1.5t - 300, where P = profit and t = amount of t-shirts sold.
So, for question "a":
P = 1.5t - 300
P = 1.5 × 100 - 300
P = 150 - 300
P = -150
For question "b":
P = 1.5t - 300
P = 1.5 × 400 - 300
P = 600 - 300
P = 300
For question "c":
P = 1.5t - 300
1,000 = 1.5t - 300
1,300 = 1.5t
t = 866.666...
Rationally, that means one must sell 867 whole t-shirts to break 1,000 dollars.
