A company produces coffee makers. The labor cost of assembling one coffee maker during the regular business hours is $2.75. If the work is done in overtime, the labor cost is $3.55 per unit. The company must produce 820 coffee makers this week, and does not want to spend more than $2479 in labor costs.

What is the smallest number of units that must be assembled during the regular hours?

Question

Olive Petersen

Mathematics

3 September, 08:36

A company produces coffee makers. The labor cost of assembling one coffee maker during the regular business hours is $2.75. If the work is done in overtime, the labor cost is $3.55 per unit. The company must produce 820 coffee makers this week, and does not want to spend more than $2479 in labor costs.

What is the smallest number of units that must be assembled during the regular hours?

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Answers (1)

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Jabari Zavala · Answer 1

2.75 x + 3.55 y ≤ 2,479

x + y = 820

(x - number of units produced during the regular hours, y - number of units produced in overtime)

y = 820 - x

2.75 x + 3.55 · (820 - x) ≤ 2.749

2.75 x + 2,911 - 3.55 x ≤ 2,749

- 0.8 x ≤ 2,749 - 2,911

- 0.8 x ≤ - 432 / · ( - 1)

x ≥ 432 : 0.8

x ≥ 540

Answer:

The smallest number of units that must be assembled during the regular hours is 540.