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Exam ASVAB Test topic 1 question 8 discussion

Actual exam question from Test Prep's ASVAB Test
Question #: 8
Topic #: 1
[All ASVAB Test Questions]

A printing plant that produces baseball cards has a monthly overhead of $6,000. It costs 18 cents to print each card, and the cards sell for 30 cents each.
How many cards must the printing plant sell each month in order to make a profit?

  • A. 30,000
  • B. 40,000
  • C. 50,000
  • D. 60,000
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Suggested Answer: C 🗳️
Let x = the number of cards printed and sold each month. Therefore, cost is equal to 6000 + 18x, and revenue is equal to 0.30x. You're looking for the point where revenue is greater than the cost (revenue > cost). The inequity is 0.30x > 6000 + 18x. Subtracting 18x from both sides of the inequity results in 0.12x > 6000.
Divide both sides by 0.12. The result is that x > 50,000. The printing plant would have to print and sell 50,000 cards per month to make a profit.
by UnconsciousDonkey at Sept. 27, 2023, 4:25 a.m.

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8613e9f
3 months, 2 weeks ago
its 50,000 Since let amount made for cost and selling price for the month = x now from the equation,let monthly cost/ expenses be 6000 + 0.18x( NB 0.18x stands for monthly cost price) monthly selling price is 0.30x we are looking for monthly cost or expenses to be less than monthly selling price. in other words monthly selling price to be greater than production cost or expenses to make profit. Therefore, monthly cost < monthly selling price = profit 6000 + 0.18x < 0.30x 6000 < 0.30x - 0.18x 6000 < 0.12x x > 6000 /0.12 x > or = 50,000
upvoted 2 times
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UnconsciousDonkey
1 year, 1 month ago
I thought the answer would have been 60,000 since technically selling 50,000 would have just broken even
upvoted 1 times
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