A company offers each of its 80 workers either a desktop computer that costs $900 or a laptop that costs $1550. Write and simpli

Question

1 year ago

14

fy an expression for the cost of all the computers when n workers choose desktop computers. Find the cost if 65 workers choose desktop computers.

1 answer:

Vesna [10] · Answer 1 · 2024-03-25T19:38:30+03:00

The simplified expression for the total cost is 124000 - 650n and the cost if 65 workers choose desktop computers is 81750

<h3>Write and simplify an expression for the cost of all the computers </h3>

The given parameters are:

Number of workers = 80

Cost of desktop = $900

Cost of laptop = $1550

If n workers choose desktop computers, then 80 - n workers choose laptop computers

So, the expression for the cost of all the computers is

Total cost = 900n + 1550 * (80 - n)

Expand

Total cost = 900n + 124000 - 1550n

Evaluate the like terms

Total cost = 124000 - 650n

Hence, the simplified expression for the total cost is 124000 - 650n

<h3>Find the cost if 65 workers choose desktop computers.</h3>

This means that n = 65.

So, we have:

Total cost = 124000 - 650* 65

Evaluate

Total cost = 81750

Hence, the cost if 65 workers choose desktop computers is 81750