1.) Suppose we estimate that the demand elasticity for fine leather jackets is .7 at their current prices. Then we know that:
a 1% increase in price reduces quantity sold by .7%. |
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no one wants to buy leather jackets. |
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demand for leather jackets is elastic. |
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a cut in the prices will increase total revenue. |
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leather jackets are luxury items. |
2.) If the competitive firm can sell its product at $16 per unit and the marginal costs of the firm are MC = 1,100 - 2Q, then the firm will produce:
1,084 units. |
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542 units. |
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16 units. |
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1,100 units. |
3.) Brewing Company experienced the following monthly sales (in thousands of barrels) during 2010:
Jan. |
Feb. |
Mar. |
Apr. |
May |
June |
97 |
92 |
110 |
110 |
113 |
116 |
Develop forecasts for February through July using the exponential smoothing method (with w = .7). Begin by assuming. Forecast(2)= Actual(1)=97.
What is the forecast of July Forecast(7) ?
Jan. |
Feb. |
Mar. |
Apr. |
May |
June |
Jul |
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Actual |
97 |
92 |
110 |
110 |
113 |
116 |
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Forecast |
97 |
93.5 |
105.1 |
108.5 |
? |
? |
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114.2 |
||||||||
114.7 |
||||||||
112.5 |
||||||||
115 |
||||||||
112 |
4.) If Tiger Toys faces a Non-linear demand curve of Q = 340 - 4 P1.02 and a MC = ATC = 20, then the optimal price and economic profit would be:
Hint: use Solver
Price =49 ; Profit = 3715 |
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Price =44.5 ; Profit = 3057 |
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Price =40.7 ; Profit = 2505 |
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Price =45 ; Profit = 2205 |
Ans:
1) a 1% increase in price reduces quantity sold by .7%.
Explanation
The elasticity of demand measures the change in quantity demand for a good in response to the change in price. When the elasticity of demand is less than 1, the demand is inelastic. when the demand is inelastic, the change in the demand is less than the change in price.
If the demand elasticity for fine leather jackets is .7, it means that a 1% increase in price reduces quantity sold by .7%.
2) 542 units.
Explanation
MC = 1,100 - 2Q
at the profit maximizing output MC = MR
16 = 1,100 - 2Q
2Q = 1,100 - 16
Q = 1084 / 2
Q = 542
The firm will produce 542 units.
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