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MrMuchimi
2 years ago
6

Based on the given information, determine which company has a lower minimum and find the minimum value. g(x) at (10, 855) f(x) a

t (16, 536) g(x) at (16, 536) f(x) at (10, 855)
SAT
1 answer:
Gekata [30.6K]2 years ago
7 0

The minimum production cost of company 2 is greater than the minimum production cost of company 1. We arrived at this value by comparing the production cost of both companies.

<h3>What is meant by minimum production cost?</h3>

The overall cost incurred by a company to manufacture a product or provide services is known as the cost of production.

The objective of every company is to keep this cost at minimum, hence the minimum production cost.

<h3>How do find minimum Production Cost?</h3>

Recall that the production function is given as:

f(x) = 0.25x² - 8x + 600

Inserting the values given by the schedule we have

  1. f(6) = 0.25(6²) - 8(6) + 600 = 561
  2. f(8) = 0.25(8²) - 8(8) + 600 = 552
  3. f(10) = 0.25(10²) - 8(10) + 600 = 545
  4. f(12) = 0.25(12²) - 8(12) + 600 = 540
  5. f(14) = 0.25(14²) - 8(14) + 600 = 537

For company 2, we are given the various production costs as;

x   - g(x)

6  - 862.2

8  - 856.8

10 -  855

12 -  856.8

14 - 862.2

Juxtaposing the above, we can infer that the minimum production cost of company 2 is greater than the minimum production cost of company 1.

Learn more about minimum production cost at:
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