Break-Even Analysis — Unit test Answers

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21
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Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown on the following table. Salesperson Commission/Sale Mary $36.25 Jay $28.50 Abby $25.75 Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Which arrangement of sales would cause Arderi Air Conditioning to break even?

A
Mary sells 54 units; Jay sells 51 units; Abby sells 43 units
B
Mary sells 54 units; Jay sells 43 units; Abby sells 51 units
C
Mary sells 43 units; Jay sells 51 units; Abby sells 54 units
D
Mary sells 43 units; Jay sells 54 units; Abby sells 51 units
22
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Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town. He would like to take out a business loan to cover the cost of expansion.The profits for Sam's business over the last 5 years are outlined in the table below. According to this information, what would be the best estimate for Sam to quote as expected profits in the next year in his new business plan?Business YearNet Profit1$43,502.252$47,417.453$51,685.024$56,336.685$61,406.98

A
$66,477.28
B
$66,933.60
C
$72,003.91
D
$72,957.63
23

Last year, Rusty’s Tools experienced $67,550 in net sales, creating a gross profit of $50,338. If Rusty had a total operating expense of $35,200 last year, what was his net profit margin?

A
22.4%
B
52.1%
C
74.5%
D
79.0%
24

A store is selling a green rug for $54.50 and a white rug for $31.85. The green rug is marked down by 12%, and the white rug is marked up by 16%. After the markup and markdown, which rug is more expensive, and how much more expensive is it? Round all dollar values to the nearest cent.

A
The white rug is $1.09 more expensive than the green rug.
B
The white rug is $5.35 more expensive than the green rug.
C
The green rug is $1.44 more expensive than the white rug.
D
The green rug is $11.01 more expensive than the white rug.
25

Sam is planning to start a pool cleaning business from his home. He has decided on a radius of 30 miles from his home as a region of operation. After surveying the region of operation, he has found that 43% of homes in the region have a swimming pool. There are 36,248 homes in Sam’s region of operation.Which of the following statements is the best reason to include in the market analysis component of Sam’s business plan explaining why such a high percentage is good for Sam’s business?

A
43% is 40% more than Sam needs.
B
Only 57% of the home owners need to build a swimming pool.
C
43% of homes with a pool means 15,586 guaranteed customers, creating a solid customer base.
D
Since pools are not often removed from a property, 43% of homes with a pool means a strong potential customer base now, with the existing home owners, and later, with new home owners.
26

Ashley runs a hardware store. She has decided to apply a markdown of 15% to one item in order to draw customers into the store, and she will apply a markup of 10% to three different items, which she hopes the customers will purchase after purchasing the marked-down item. She has chosen four candidates for this process: a power drill with an initial price of $51.49, a ceiling fan with an initial price of $64.79, a miniature circular saw with an initial price of $45.99, and a screwdriver set with an initial price of $37.39. After applying the changes, the total cost of purchasing one of each item is $3.77 more than it was before applying the changes. Which item was marked down?

A
power drill
B
ceiling fan
C
circular saw
D
screwdriver set
27

Sam is planning to start a pool cleaning business from his home. He has developed the following cost analysis for the set-up and operation for the first year of his business. He has $9,000 in savings and $23,000 in credit that he can use for the business. Approximately what percent of the initial set-up and operation costs will Sam need to finance with a lender or investor?ItemCostTruck$9,000Pool Cleaning Supplies$6,000Payroll$23,000Advertising$1,500

A
19%
B
23%
C
33%
D
78%
28

At his comic book store, Korey's Comics, Korey sells approximately $3,250 in comic books each month. But as a comic book dealer, Korey only pays $1,285 for these comic books. Korey's monthly operating expenses, including labor, are $875. Calculate Korey's monthly gross profit.

A
$1,090
B
$1,965
C
$2,375
D
$2,840
29

Khybar Inc. manufactures dental x-ray machines. The company can sell an x-ray machine which cost $508.17 to produce for $1,295.75. Each of the company’s two salespeople earns a different commission per sale, as shown in the table below.SalespersonCommission/SaleGreg$243.15Colleen$288.75Last year, Greg sold 11 fewer x-ray machines than Colleen did. Khybar Inc.’s total expenses last year, not counting production costs or commissions, came to $79,558.59. If Khybar Inc. broke even, how many x-ray machines were sold last year in total?

A
149
B
153
C
157
D
160
30

A microwave oven costs $124.85 before it is marked down. If it is marked down by 63%, what is its new price, to the nearest cent?

A
$78.66
B
$61.85
C
$58.68
D
$46.19

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