Question

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?

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.