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# Supply and Demand, Market Equilibrium & Cost Data

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5. (TCO B) The following table shows part of the demand for tickets to a local sporting event:
Price(P)...Quantity(Q)
15...........40
10..........100
6............150
3............250
a. Is demand elastic in the \$3 - \$6 price range?
b. Ed = 0.8 in the \$6 - \$10 price range. In this range of demand, by what percentage would quantity demanded change if price changes by 5 percent?
c. Price falls from \$15 to \$10. Does total revenue (TR) increase, decrease, or remain the same?

6. (TCO B) For a given labor supply, would the potential unemployment impact of an increase in the minimum wage be greater in the case of elastic or inelastic demand for labor? Explain why, using hypothetical numbers to illustrate your case.

7.
TCO C) You have been hired to manage a small manufacturing facility which has cost and production data given in the table below.
No. of workers Total Labor Cost Output Total Revenue
1 \$45 100 \$170
2 90 108 350
3 135 114 800
4 180 119 1270
5 225 123 1600
6 270 125 1700
7 315 126 1750
a. What is the marginal product of the sixth worker?
b. What is the marginal revenue product of the third worker?
c. What is the marginal cost of the third worker?
d. Based on your knowledge of marginal analysis, how many workers should you hire? Explain you answer.

8.
(TCO C) Answer the next question on the basis of the following cost data for a purely competitive seller:
Total Product TFC TVC
0 \$150 \$0
1 150 70
2 150 120
3 150 150
4 150 220
5 150 300
6 150 390
Refer to the above data. If the product price is \$95, at its optimal output will the firm realize an economic profit, break even, or incur an economic loss? How much will the profit or loss be? Show all calculations.

9.
(TCO C) Answer the next question on the basis of the following cost data for a purely competitive seller:
Total Product TFC TVC
0 \$50 \$0
1 50 70
2 50 120
3 50 150
4 50 220
5 50 300
6 50 390
Refer to the above data. If the product price is \$60, at its optimal output will the firm realize an economic profit, break even, or incur an economic loss? How much will the profit or loss be? Show all calculations

10. (TCO C) A firm has Total Costs (TC) of \$12,000 over the next three months (TOTAL for the 3 months - not per month), of which \$8,000 are fixed costs (TFC) for rent on its lease that cannot be broken. If it stays in business over those months, then the firm will collect only \$6,000 in revenues (TR). So, considering only this information, should they stay in business for those three months, or should they close down right now? Provide your reasoning.

https://brainmass.com/economics/unemployment/supply-and-demand-market-equilibrium-cost-data-162044

#### Solution Preview

5. (TCO B) The following table shows part of the demand for tickets to a local sporting event:
Price(P)...Quantity(Q)
15...........40
10..........100
6............150
3............250
a. Is demand elastic in the \$3 - \$6 price range?

Demand Elasticity = (Q2-Q1)/(P2-P1) X (P2+P1)/(Q2+Q1)

=100/-3 X 9/400
=-0.75;

b. Ed = 0.8 in the \$6 - \$10 price range. In this range of demand, by what percentage would quantity demanded change if price changes by 5 percent?

eD = % change in quantity / % change in price
% change in quantity = 0.8 x 5% = 4%

c. Price falls from \$15 to \$10. Does total revenue (TR) increase, decrease, or remain the same?

TR@10 = 10 X 100 =\$1000
TR@15 = 15 X 40 = \$600

Total Revenue increases

6. (TCO B) For a given labor supply, would the potential unemployment impact of an increase in the minimum wage be greater in the case of elastic or inelastic demand for labor? Explain why, using hypothetical numbers to illustrate your case.

It will be greater in case of elastic labor. Consider this example

Wage Price = \$5 Labor =1000
Wage Price = \$10 Labor = 100

Elasticity = (-900)/(5) x 15/1100
= -2.45 which is elastic demand

what this says is when wage increases for \$5 to \$10, the demand for labor decreases from 1000 to 100

7.
TCO C) You have been hired to manage a small manufacturing ...

#### Solution Summary

The ten questions are answered with all calculations displayed.

\$2.19

## Auto sales data show that as the price of gasoline increased significantly recently, fewer people bought SUVs.

Please provide explanations and show work.

Market Equilibrium Analysis
Question 1:
Auto sales data show that as the price of gasoline increased significantly recently, fewer people bought SUVs. Based on this economic fact, please address the following questions:
a. Determine the market in question (i.e., which market is of our interest for this homework);
b. Explain whether a shift in demand or supply occurred in the market in question;
c. Explain the reason and the direction of the shift;
d. Determine the effect of the shift on the equilibrium price and the equilibrium quantity;
e. Draw an equilibrium diagram to show the effect in question d. (refer to the text (pp.64-67) or instructor's lecture notes for examples of an equilibrium/shift)
Question 2:
Using the following fictitious demand and supply equations for housing in Minot: (you can assume these are demand and supply for two-bedroom apartments in the area if that will help your understanding. Question 8 in the book should also give some hints to solving this problem)
Demand: Q = 10800 - 12P
Supply: Q = -200 + 8P