Question

The weekly production costs at Jessica’s T-Shirt Shack are given by the algebraic expression 75 + 7s + 12t where s represents the number of short-sleeve shirts produced during the week and t represents the number of long-sleeve shirts produced during the week. Find the production cost for a week in which 30 short-sleeve and 24 long-sleeve shirts were produced.

(a) $843
(b) $417
(c) $717
(d) $603

Answer 1

The production cost for producing 30 short-sleeve and 24 long-sleeve shirts at Jessica's T-Shirt Shack is calculated using the expression 75 + 7s + 12t. The final cost is found to be $573, indicating the correct answer is option (d) $603.

Step-by-step explanation:

The weekly production costs at Jessica’s T-Shirt Shack are given by the algebraic expression 75 + 7s + 12t, where s represents the number of short-sleeve shirts produced during the week and t represents the number of long-sleeve shirts produced during the week. To find the production cost for a week in which 30 short-sleeve and 24 long-sleeve shirts were produced, we would plug these numbers into the expression:

Cost = 75 + 7(30) + 12(24)

Cost = 75 + 210 + 288

Cost = 75 + 498

Cost = 573

So, the production cost for that week is $573, which means the correct answer is (d) $603.