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

the answer

b. they are parallel and will never intersect.

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers