A grocer sells 30 loaves of bread a day. The cost is $2.50 per loaf. The grocer estimates that for each $0.50 increase in cost,
2 fewer loaves of bread will be sold per day. Let x represent the number of $0.50 increases in the cost of a loaf of bread.For what number of $0.50 increases in the cost of a loaf of bread will the grocer's generated revenue be greater than zero?
A. The grocer's generated revenue will be greater than zero for any number of $0.50 increases greater than 20.
B. The grocer's generated revenue will be greater than zero for any number of $0.50 increases less than 20.
C. The grocer's generated revenue will be greater than zero for any number of $0.50 increases greater than 15
.
D. The grocer's generated revenue will be greater than zero for any number of $0.50 increases less than 15.
A. The grocer's generated revenue will be greater than zero for any number of $0.50 increases greater than 20.
B. The grocer's generated revenue will be greater than zero for any number of $0.50 increases less than 20.
C. The grocer's generated revenue will be greater than zero for any number of $0.50 increases greater than 15
.
D. The grocer's generated revenue will be greater than zero for any number of $0.50 increases less than 15.
1 answer:
Answer:
none of the above
Step-by-step explanation:
The grocer's revenue will be the product of the number of loaves sold (30-2x) and their price (2.50+0.50x).
Revenue will be positive for values of x between those that make these factors be zero. The number of loaves sold will be zero when ...
... 30 -2x = 0
... 15 -x = 0 . . . . . divide by 2
... x = 15 . . . . . . . add x
The price of each loaf will be zero when ...
... 2.50 +0.50x = 0
... 5 + x = 0 . . . . . . . multiply by 2
... x = -5 . . . . . . . . . . subtract 5
Revenue will be positive for any number of increases greater than -5 and less than 15.
_____
D is the best of the offered choices, but it is incorrect in detail. -5 is a number less than 15, but will give zero revenue.
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