Madelaine88 wrote:
A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine?
a - 4500
b - 9000
c - 13,500
d - 15,500
e - 27,000
The wrinkle in this question: profit is given in shifts of 8 hours, but the question asks for total profit where the machines operate 24 hours a day.
Total weekly profit will be:
1) per-shift profit * 3 (to get 24 hours) * 5 (days) for Sunday to Thursday, plus
2) per-shift profit * 3 * 2(days) for Friday and Saturday
Every solution posted uses #s 1 and 2. Every solution is a condensed version of the explanation below, which I'm posting because the stats seem unusually skewed for this question.
1. Sunday through Thursday: From Sun to Thurs, the average profit for an 8-hour shift is $600.
But to calculate total profit of machines working all day, every day, we need total profit for each day of 24 hours:
\(\frac{$600}{8hrs}\) = \(\frac{$x}{24hrs}\) -->
8 is multiplied by 3 to get 24. Multiply 600 by 3 to get the numerator x
x = $1,800 per day for the five days Sunday through Thursday
Su - Th
total profit = $1,800 * 5 =
$9,000 2. Friday and Saturday: average
per-shift profit is 25 percent greater than on the other days
1.25 * $600 = $750 per 8-hour shift
\(\frac{$750}{8hrs}\) = \(\frac{$x}{24hrs}\) --> ($ 750 * 3 to get x)
x = $2,250 per day * 2 days =
$4,500 total for Fri and Sat
Total weekly profit is $9,000 + $4,500 = $13,500
Answer C
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