Stonebuilt Concrete produces a specialty cement used in construction of roads. Stonebuilt is a price-setting firm and estimates the demand for its cement by the state department of transportation using a demand function in the nonlinear form: Q = a p Mf p dR where Q= yards of cement demanded monthly, P = the price of Stonebuilt's cement per yard, M= state tax revenues per capita, and PR = the price of asphalt per yard. The manager at Stonebuilt transforms the nonlinear relation into a linear relation for estimation. The estimation results are presented below: DEPENDENT VARIABLE: LNQ R-SQUARE OBSERVATIONS: P-VALUE ON F 0.0001 F-RATIO 64 0.8093 84.872 PARAMETER STANDARD VARIABLE ESTIMATE ERROR T-RATIO P-VALUE 8.20 2.04 -2.16 3.38 0.0461 0.0357 0.0014 INTERCEPT 4.01 LNP LNM -3.54 0.64287 0.7854 1.64 0.19 LNPR 0.38 2.07 0.0439 If the price of asphalt (PR) decreases 15%, the estimated quantity of cement demanded will: Multiple Choice increase 5.2%. Increase 11.8%. increase 1.18%. decrease 11.8%.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 54P
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Stonebuilt Concrete produces a specialty cement used in construction of roads. Stonebuilt is a price-setting firm and estimates the demand for its cement by the
state department of transportation using a demand function in the nonlinear form:
Q = a pb M pdr
where Q= yards of cement demanded monthly, P= the price of Stonebuilt's cement per yard, M= state tax revenues per capita, and PR = the price of asphalt per
yard. The manager at Stonebuilt transforms the nonlinear relation into a linear relation for estimation. The estimation results are presented below:
F-RATIO
84.872
STANDARD
P-VALUE ON F
DEPENDENT VARIABLE: LNQ R-SQUARE
OBSERVATIONS: 64
0.8093
0.0001
PARAMETER
VARIABLE
ESTIMATE
ERROR
T-RATIO
P-VALUE
INTERCEPT
LNP
2.04
-2.16
3.38
0.0461
0.0357
0.0014
0.0439
8.20
4.01
-3.54
0.64287
0.7854
1.64
LNM
0.19
LNPR
0.38
2.07
If the price of asphalt (PR) decreases 15%, the estimated quantity of cement demanded will:
Multiple Choice
increase 5.2%.
increase 11.8%.
increase 1.18%.
decrease 11.8%.
decrease 5.2%.
Transcribed Image Text:Stonebuilt Concrete produces a specialty cement used in construction of roads. Stonebuilt is a price-setting firm and estimates the demand for its cement by the state department of transportation using a demand function in the nonlinear form: Q = a pb M pdr where Q= yards of cement demanded monthly, P= the price of Stonebuilt's cement per yard, M= state tax revenues per capita, and PR = the price of asphalt per yard. The manager at Stonebuilt transforms the nonlinear relation into a linear relation for estimation. The estimation results are presented below: F-RATIO 84.872 STANDARD P-VALUE ON F DEPENDENT VARIABLE: LNQ R-SQUARE OBSERVATIONS: 64 0.8093 0.0001 PARAMETER VARIABLE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT LNP 2.04 -2.16 3.38 0.0461 0.0357 0.0014 0.0439 8.20 4.01 -3.54 0.64287 0.7854 1.64 LNM 0.19 LNPR 0.38 2.07 If the price of asphalt (PR) decreases 15%, the estimated quantity of cement demanded will: Multiple Choice increase 5.2%. increase 11.8%. increase 1.18%. decrease 11.8%. decrease 5.2%.
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