A local sporting goods store is planning to hire up to 24 temporary employees for its annual Black Friday Sale. Experienced workers (x) will be paid $20 per hour and produce 1.5 times the profit that an inexperienced worker produces. Inexperienced workers (y) get hired at $15 per hour. The store can pay up to $400 per hour for the temporary employees. How many of each type of worker can be hired to maximize profit?

8 experienced workers and 16 inexperienced workers

Step-by-step explanation:

Let x represent the number of experienced workers, y represent the number of inexperienced workers.

The store can hire up to 24 temporary employees, hence:

x + y ≤ 24

The store can pay up to $400 per hour, hence:

20x + 15y ≤ 400

Also, x, y > 0

The solution to the above problem is at (8, 16). Hence x = 8 and y = 16.

The profit of an experienced worker is 1.5 times the profit that an inexperienced worker. hence:

Profit = 1.5x + y

Profit = 1.5(8) + 16

Profit = 12 + 16 = 28

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.