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lions [1.4K]
4 years ago
6

A company that manufactures cell phones has been given a quarterly operating budget of $1,620,151.13. The company's quarterly op

erating cost consists of two costs: an overhead fixed cost and the manufacturing cost of each cell phone. The company knows that the overhead fixed cost per quarter is $292,388.00, and the cost to manufacture each cell phone is $76.19. If the company's quarterly operating costs cannot exceed the quarterly budget, then what is the maximum number of cell phones that they can manufacture during the quarter?
A. 17,427
B. 9,752
C. 13,589
D. 25,102
Mathematics
1 answer:
monitta4 years ago
5 0

Answer:

A

Step-by-step explanation:

Set up equation

76.19x + 292388 + 1620151.13

Subtract 292,388 from 1,620,151.13

76.19x  + 292388 - 292388 = 1620151.13 - 292388

76.19x = 1327763.13

Divide

\frac{76.19x}{76.19}  =  \frac{1327763.13}{76.19}

x = 17427

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Answer:

\displaystyle x = \frac{216}{7}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}<u />

<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Cross-multiply:                     \displaystyle 6(2x - 2) = 19(x - 12)
  2. Distribute:                             \displaystyle 12x - 12 = 19x - 228
  3. Isolate <em>x</em> terms:                     \displaystyle -12 = 7x - 228
  4. Isolate <em>x</em> term:                      \displaystyle 216 = 7x
  5. Isolate <em>x</em>:                               \displaystyle \frac{216}{7} = x
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3 years ago
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(Please help) (one question) (NO LINKS)
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Answer:

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Step-by-step explanation:

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3 years ago
Jack is in charge of road construction crew. The crew must complete 6/7 of a mile of the road by the end of the day. By noon the
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Step by step Explanation:

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4 years ago
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