Question:

An analyst at the Green Car Co. Ltd. estimated the following demand function for the electric vehicles it sells:
QE=0.751.5PE+2.5PF0.5PB+3.2lQ_E=0.75-1.5P_{E} +2.5P_F - 0.5P_B+3.2l
where QEQ_E = Number of electric vehicles (in thousand per year), PEP_E = Unit price of electric vehicle (Rs. in Lakh), PFP_F = Average unit price of vehicle using fossil fuels (Rs. in Lakh), PBP_B = Unit price of battery used in electric vehicle (Rs. in Lakh), ll = Personal disposable income (Rs. in Lakh).
Let PEP_E  = Rs. 6.5 Lakh, PFP_F= Rs. 4.5 Lakh,  PBP_B  = Rs. 0.5 Lakh and ll = Rs. 10 Lakh. Then the income elasticity of demand (eQgle_{Qgl}) and the cross price elasticity of demand (eQgpfe_{Qgp_f}) satisfy

Updated On: Oct 1, 2024
  • 0.98 eQgle_{Qgl}≤0.99 and 0.33  eQgpfe_{Qgp_f} ≤ 0.34
  • 0.94 eQgle_{Qgl} ≤0.95 and 0.45 eQgpfe_{Qgp_f}≤0.46
  • 0.98 eQgle_{Qgl} ≤0.99 and 0.45 eQgpfe_{Qgp_f}≤0.46
  • 0.94 eQgle_{Qgl} ≤0.95 and 0.33 eQgpfe_{Qgp_f} ≤ 0.34
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The Correct Option is D

Solution and Explanation

The correct option is (D): 0.94 eQgle_{Qgl} ≤0.95 and 0.33 eQgpfe_{Qgp_f} ≤ 0.34
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