Wilpen Company, a price-setting firm, produces nearly 80 percent of all tennis balls purchased in the United States.  Wilpen estimates the U.S. demand for its tennis balls by susing the following linear specification: Q = a + bP = cM +dPR Where Q is the number of cans of tennis balls should quarterly, P is the wholesale price Wilpen charges for a can of tennis balls, M is the consumer’s average household income, and PR is the average price of tennis rackets.  The regression results are as follows: Wilpen plans to charge a wholesale price of $1.65 per can.  The average price of a tennis racket is $110, and consumers’ average household income is $26,400. What will happen, in percentage terms, to the number of cans of tennis balls demanded if the price of tennis balls decreases 15 percent? What will happen, in percentage terms, to the number of cans of tennis balls demanded if average household income increases by 20 percent? What will happen, in percentage terms, to the number of cans of tennis balls demanded if the average price of tennis rackets increases 25 percent? Thank you

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Wilpen Company, a price-setting firm, produces nearly 80 percent of all tennis balls purchased in the United States.  Wilpen estimates the U.S. demand for its tennis balls by susing the following linear specification:

Q = a + bP = cM +dPR

Where Q is the number of cans of tennis balls should quarterly, P is the wholesale price Wilpen charges for a can of tennis balls, M is the consumer’s average household income, and PR is the average price of tennis rackets.  The regression results are as follows:

Wilpen plans to charge a wholesale price of $1.65 per can.  The average price of a tennis racket is $110, and consumers’ average household income is $26,400.

  1. What will happen, in percentage terms, to the number of cans of tennis balls demanded if the price of tennis balls decreases 15 percent?
  2. What will happen, in percentage terms, to the number of cans of tennis balls demanded if average household income increases by 20 percent?
  3. What will happen, in percentage terms, to the number of cans of tennis balls demanded if the average price of tennis rackets increases 25 percent?

Thank you

MS
1. Wilpen Company, a price-setting firm, produces nearly 80 percent of all tennis balls
purchased in the United States. Wilpen estimates the U.S. demand for its tennis balls
by using the following linear specification:
Q = a +bP + cM + dPR
where Q is the number of cans of tennis balls sold quarterly, P is the wholesale price
Wilpen charges for a can of tennis balls, M is the consumers' average household income,
and PR is the average price of tennis rackets. The regression results are as follows:
R-SQUARE
0.8435
DEPENDENT VARIABLE: Q
OBSERVATIONS: 20
VARIABLE
INTERCEPT
P
M
PR
PARAMETER
ESTIMATE
425120.0
-37260.6
1.49
-1456.0
STANDARD
ERROR
220300.0
12587
F-RATIO
28.75
0.3651
460.75
T-RATIO
1.93
-22.96
4.08
-3.16
P-VALUE ON F
0.001
P-VALUE
0.0716
0.0093
0.0009
0.0060
Transcribed Image Text:MS 1. Wilpen Company, a price-setting firm, produces nearly 80 percent of all tennis balls purchased in the United States. Wilpen estimates the U.S. demand for its tennis balls by using the following linear specification: Q = a +bP + cM + dPR where Q is the number of cans of tennis balls sold quarterly, P is the wholesale price Wilpen charges for a can of tennis balls, M is the consumers' average household income, and PR is the average price of tennis rackets. The regression results are as follows: R-SQUARE 0.8435 DEPENDENT VARIABLE: Q OBSERVATIONS: 20 VARIABLE INTERCEPT P M PR PARAMETER ESTIMATE 425120.0 -37260.6 1.49 -1456.0 STANDARD ERROR 220300.0 12587 F-RATIO 28.75 0.3651 460.75 T-RATIO 1.93 -22.96 4.08 -3.16 P-VALUE ON F 0.001 P-VALUE 0.0716 0.0093 0.0009 0.0060
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