Answer:
{-1.7, 3.5}
Step-by-step explanation:
I find it convenient to graph the difference of the two sides of the equation. That difference is zero when the equation is satisfied. This equation has two solutions, near x = -1.7 and x = 3.5.
Answer:18432
Step-by-step explanation:
Answer:
- 8 small houses; 0 large houses
- 80 small houses; 0 large houses
Step-by-step explanation:
a) The maximum number of houses Sam can build in 24 hours is 8, so the constraint is in construction, not decoration. For each small house Sam constructs, he makes $10/3 = $3.33 per hour of work. For each large house Sam constructs, he makes $15/5 = $3.00 per hour. The most money is to be made by building only small houses.
Sam should make 8 small houses and 0 large houses in 24 hours.
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b) If Sam works 8-hour days, then he can complete at most 80 small houses. The constraint remains in construction, so the answer is the same: build only small houses.
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If Sam works more than 16 2/3 hours per day, he can build 100 large houses or more, so the constraint moves to decoration. The decorator makes more money by decorating large houses, so all the effort should go to construction of large houses.
If Sam works between 10 and 16 2/3 hours per day, the best revenue will come from some mix. The problem statement is unclear as to how many hours Sam works in 30 days.
Expand
13x - 16 - 10x = 12 - 11x
Simplify 13x - 16 - 10x to 3x - 16
3x - 16 = 12 - 11x
Add 16 to both sides
3x = 12 - 11x + 16
Simplify 12 - 11x + 16 to -11x + 28
3x = -11x + 28
Add 11x to both sides
3x + 11x = 28
Simplify 3x + 11x to 14x
14x = 28
Divide both sides by 14
x = 28/14
Simplify 28/14 to 2
x = 2
