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.
35. The perimeter of a rectangle can be found by using the formula 2+ 2w, where / represents the length of the rectangle and w
represents the width of the rectangle. Find the perimeter of arectangular swimming pool whose length is 32 feet and whose
width is 20 feet.

Answer 1

The weekly production cost for Jessica's T-Shirt Shack, given the production of 30 short-sleeve and 24 long-sleeve shirts, is $573. The perimeter of the swimming pool with the given dimensions is 104 feet.

The weekly 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. To find the cost, substitute 30 for s and 24 for t. This gives us 75 + (7 × 30) + (12 × 24).

Calculating further, 75 + 210 + 288 yields a weekly production cost of $573.

In the case of the rectangular swimming pool with a length of 32 feet and a width of 20 feet, we use the formula for perimeter, which is P = 2l + 2w. Here, P = 2 × 32 + 2 × 20, which simplifies to 64 + 40, resulting in a perimeter of 104 feet.