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pickupchik [31]
2 years ago
13

Suppose the demand curve for a product is given by Q = 11 - 2P + 3Ps Where P is the price of the product and Ps is the price of

a substitue good. The price of the substitute good is $2.80. Suppose P = 1.20. what is the price elasticity of demand? What is the cross price elasticity of demand?
Business
1 answer:
Alex17521 [72]2 years ago
4 0

Answer: (a) -0.1412

(b) 0.4941

Explanation:

Q = 11 - 2P + 3Ps

Where,

P - price of the product

Ps - price of a substitute good

Ps = $2.80

P = $1.20

\frac{dQ}{dP} = -2

\frac{dQ}{dPs} = 3

Price\ elasticity\ of\ demand= \frac{P}{Q}\times\frac{dQ}{dP}

Price\ elasticity\ of\ demand= \frac{1.20}{11-2P+3Ps}\times(-2)

Price\ elasticity\ of\ demand= \frac{1.20}{11-2\times1.2+3\times2.8}\times(-2)

                                                     = \frac{-2.4}{17}

                                                     = -0.1412

Cross\ Price\ elasticity\ of\ demand= \frac{Ps}{Q}\times\frac{dQ}{dPs}

                                                                 = \frac{2.8}{17}\times3

                                                                 = 0.4941

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The table below presents the average and marginal cost of producing cheeseburgers per hour at a roadside diner.
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a. At a quantity of 40 cheeseburgers per hour, the average total cost of production is<u> falling </u>and the marginal cost of cheeseburger production is <u>rising</u>.

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Explanation:

a. At a quantity of 40 cheeseburgers per hour, the average total cost of production is<u> </u><em><u>falling </u></em>and the marginal cost of cheeseburger production is <em><u>rising</u></em>.

From the table in the question, it can be observed that the average total cost of production at a quantity of 30 cheeseburgers per hour is higher than the average total cost of production at a quantity of 40 cheeseburgers per hour, while the average total cost of production at a quantity of 50 cheeseburgers per hour is lower than the average total cost of production at a quantity of 40 cheeseburgers per hour. This implies that at a quantity of 40 cheeseburgers per hour, the average total cost of production is<u> falling.</u>

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b. At a quantity of 60 cheeseburgers per hour, the average variable cost of production is <u> </u><em><u> rising</u></em><u> </u> and the average total cost of cheeseburger production is <em><u>at a minimum</u></em>.

From the table in the question, it can be observed that the average variable cost of production at a quantity of 50 cheeseburgers per hour is lower than the average variable cost of production at a quantity of 60 cheeseburgers per hour, while the average variable cost of production at a quantity of 70 cheeseburgers per hour is higher than the average variable cost of production at a quantity of 60 cheeseburgers per hour. This implies that at a quantity of 60 cheeseburgers per hour, the average variable cost of production is<u> rising.</u>

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