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Natasha2012 [34]
4 years ago
9

The function D ( p ) D(p) gives the number of items that will be demanded when the price is p. The production cost, C ( x ) C(x)

is the cost of producing x items. To determine the cost of production when the price is $5, you would:
A. Solve C(D(p)) = 7 for p
B. Evaluate D(C(7))
C. Evaluate C(D(7))
D. Solve D(C(x)) = 7 for x
Mathematics
1 answer:
ipn [44]4 years ago
6 0

Answer:

C(D(5))

Step-by-step explanation:

Given:

D(p): Items demanded when price is P

C(x): Production cost of x items

Required

Cost of producing when price is $5

First, we need to get the number of items demanded;

To do this, we substitute 5 for P in D(p)

This gives;

D(5)

Next, we determine the production cost;

To do this, we substitute D(5) for x in C(x)

This gives;

C(D(5))

<em>None of the listed options answer the question</em>

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inna [77]

Answer:

480 pounds.

Step-by-step explanation:

By proportion:

8/3 = x/180    where x is the weight on Jupiter.

Cross multiply:

3x = 8*180

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4 years ago
Two fraternities, Sig Ep and Ep Sig, plan to raise money jointly to benefit homeless people on Long Island. They will sell Yoda
WINSTONCH [101]

Answer:

a. Based on this information, construct a linear demand equation for Yoda vs. Alien T-shirts, and hence obtain the weekly revenue R as a function of the unit price x.

  • y = 640 - 80x ⇒ demand equation
  • xy = - 80x² + 640x ⇒ weekly revenue

b. The university administration charges the fraternities a weekly fee of $500 for use of the Student Center. Write down the monthly profit P as a function of the unit price x, and hence determine how much the fraternities should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?

  • $780

Step-by-step explanation:

first, we must determine the slope = (400 - 240) / (3 - 5) = 160 / -2 = -80

the demand equation:

y - 240 = -80 (x - 5)

y = -80x + 400 + 240

y = 640 - 80x

total weekly revenue:

xy = -80x² + 640x

xy - 500 = -80x² + 640x - 500

max. profit ⇒ x = -640 / (2 x -80) = -640 / -160 = 4

maximum weekly profit = -80($4²) + 640($4) - $500 = -$1,280 + $2,560 - $500 = $780

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6 0
4 years ago
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The table represents a function. What is the value of f(–1)?
Afina-wow [57]

Answer : C

we need to  the value of f(–1)

Table is given in the question

From the table ,

f(x) = 4 when x= -5, that is f(-5) = 4

f(x) = 0 when x= -1, that is f(-1) =0

f(x)= -1 when x=6, that is f(6) = -1

f(x)= -3 when x=9, that is f(9) = -3

So, the value of f(–1) = 0



3 0
4 years ago
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