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Alex McLean is preparing for the annual retreat of the company's management group in the unusual industry of urban beekeeping. A little more than sixty

Alex McLean is preparing for the annual retreat of the company's management group in the unusual industry of urban beekeeping. A little more than sixty percent of revenue comes from selling to and providing support of active beehives for individuals, businesses, and other groups in urban communities. Another twenty percent of revenue comes from the sale of honey in retail markets, and Alex would like to improve those processes to generate additional profit from that source.

  1. Alex obtained a data set appropriate to estimate the demand for the company's retail honey sales. The data includes quantity sold, price, income of consumers, and the price of a competitive product. Given what you learned in MEQA, process this data using regression analysis to generate an estimate of the company's demand curve. Evaluate the statistical significance of the demand function and related parameters.
  2. Find the marginal revenue from the demand curve generated in Part 3(A) and calculate the optimum price and quantity to maximize profits. Assume the marginal cost is zero.
Definitions
Q = Number of Aveole units sold
P = Price of Aveole product (in real 2015 $ per unit)
M = Average income consumer households (In real 2015 $)
Pa = Price of competitive product (in real 2015 $ unit)

DATA:

Demand for Aveole Honey
Obser Q P M Pa
1 2659 8.50 33150 10.55
2 2870 8.50 33280 10.45
3 2874 8.65 33410 10.35
4 2849 8.65 33761 10.30
5 2842 8.65 33960 10.30
6 2816 8.65 33475 10.25
7 3039 7.50 33475 10.25
8 3059 7.50 33735 10.15
9 3040 7.50 33735 10.00
10 3090 7.50 33956 10.00
11 2934 8.50 33956 10.25
12 2942 8.50 35231 10.25
13 2834 8.50 34060 9.75
14 2517 9.99 34255 9.75
15 2503 9.99 34385 9.65
16 2502 9.99 34255 9.60
17 2557 9.99 34645 10.00
18 2586 10.25 35555 10.25
19 2623 10.25 35555 10.20
20 2745 10.25 36335 10.00
21 2812 9.75 36607 10.10
22 2729 9.75 36743 10.10
23 2821 9.75 36977 10.10
24 2799 9.75 37252 10.25

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