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The monthly cost of operation at a company, C, given in dollars as a function of the number of units produced per month, u, is given below.

C = $3,173 + $31u

If the company wants to keep the cost of operation under $18,000 per month, what is the maximum number of units they can produce?

User Siefix
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2 Answers

5 votes

Final answer:

The company can produce a maximum of 478 whole units to keep the monthly cost of operation under $18,000, according to the cost function C = $3,173 + $31u; solving for u when C is less than or equal to $18,000.

Step-by-step explanation:

To determine the maximum number of units the company can produce while keeping the cost of operation under $18,000 per month, we use the given cost function C = $3,173 + $31u, where C represents the monthly cost and u represents the number of units produced. We need to solve for u when C is less than or equal to $18,000.

First, we substitute $18,000 for C and solve for u:

  • $18,000 = $3,173 + $31u
  • $18,000 - $3,173 = $31u
  • $14,827 = $31u
  • u = $14,827 / $31
  • u = 478.29

Since the company cannot produce a fraction of a unit, the maximum number of whole units they can produce is 478 units.

User Lavish
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2 votes

Answer:

The answer is 478

Step-by-step explanation:

Have a good day<3

User Nelson Owalo
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