Solution:
a. The quantity demanded at the specified prices is 750 units :
[tex]Q_{X} ^{d}[/tex]= 1,200 - 3(140) - 0.1(300) = 750.
Substitute the necessary details in the formula for elasticity.
[tex]E_{Q_{x} P_{z} }[/tex] = -3([tex]\frac{P_{x} }{Q_{z} }[/tex] ) = -3 ( 140 / 750) = -0.56.
As that is less than one in actual interest, demand at this level is inelastic. If the business paid a cheaper amount, the gross sales will be decreased.
b. The quantity demanded at the specified prices is 450 units:
[tex]Q_{X} ^{d}[/tex] = 1,200 - 3(240) - 0.1(300) = 450.
Substitute the necessary details in the formula for elasticity.
[tex]E_{Q_{x} P_{z} }[/tex] = -3([tex]\frac{P_{x} }{Q_{z} }[/tex]) = -3(240 / 450) = -1.6.
Because that is greater than one in real value, competition at this level is elastic. If the business raised the profit, the net sales will decrease.
c. At the price specified, the quantity demanded is 750 units, as seen in section a. Substituting the necessary details in the elasticity calculation is as follows:
[tex]E_{Q_{x} P_{z} }[/tex] = -0.1 ([tex]\frac{P_{x} }{Q_{z} }[/tex]) = -0.1(300 / 750) = -0.04.
Even though this number is negative, products X and Z are complementary.