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Crank
4 years ago
6

When a wholesaler sold a product at $50 per unit, sales were 184 units per week. After a price increase of $5, however, the aver

age number of units sold dropped to 164 per week. Assuming that the demand function is linear, what price per unit will yield a maximum total revenue?
Mathematics
1 answer:
nalin [4]4 years ago
7 0

Answer:

$48 per unit

Step-by-step explanation:

Increasing the price by $5 reduces demand by 20 units, so the slope of the curve is -4 units per dollar. This lets us write a demand equation as ...

q = -4(p -50) +184

q = -4p + 384

q = 4(96 -p)

The revenue is the product of price and demand:

r = pq = 4p(96 -p)

This is the equation of a quadratic curve that opens downward and has zeros at p=0 and p=96. The vertex (maximum) will be halfway between the zeros, at ...

p = (0+96)/2 = 48

A price of $48 per unit will yield a maximum total revenue.

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16 square feet is left uncovered.

Explanation:

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7 0
3 years ago
39. If one student can complete the decorations for the prom in 5 days
Anuta_ua [19.1K]

Answer:

1.3 days

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1/5+1/4+1/3

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8 0
3 years ago
Please help, it's on Pythagoras theorem!​
kondor19780726 [428]
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(c longest side) (this is your x)
(a and b shorter sides).

C squared = 5 squared + 3 squared
C squared = 25 + 9
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3 years ago
What's the slope, y intercept, and rate of change of y=2x+5?
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5 0
3 years ago
A Cat, sitting in the top of a tree, spots a dog and a Firefighter both on the flat ground below. From the cats point of view ,
dezoksy [38]
This is the concept of application of trigonometry;
The height of the tree will be given by:
tan theta=opposite/adjacent
theta=65
opposite=h
adjacent= 10
thus;
tan 65=h/10
h=10 tan 65
h=21.45 m

The distance between the dog and the man is x;
the distance of the man to the tree is (x+10) m
this will be given by:
tan 50= 21.45/(10+x)
getting the reciprocal of the expression we get;
1/tan 50=(10+x)/21.45
cross multiplying the above expression we get;
21.45=(10+x)tan 50
21.45=(10+x)1.2
21.45=12+1.2x
1.2x=21.45-12
1.2x=9.45
x=9.45/1.2
x=7.875
We conclude that the distance of the Firefighter and the dog is x=7.875 m



4 0
4 years ago
Read 2 more answers
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