Answer:
If the firm lowers the price of product x by 1%, the change in the total revenues will be <u>$680</u>.
Explanation:
Own price elasticity of demand of a commodity is the degree of responsiveness of quantity demanded of the commodity to a change in its own price. This is given as -2 for commodity x in the question.
The cross price elasticity of demand between any two commodities is the degree of responsiveness of quantity demanded of the first commodity to a change in the price of the second commodity. This is given as -0.6 for between commodity x and y in the question.
Given the information in the question, the change in the total revenues if the firm lowers the price of product x by 1% can be calculated using the following formula:
ΔTR = [(rx * (1 + ex)) + (ry * cexy)] * Δpx ..................... (1)
ΔTR = Change in the total revenues = ?
rx = revenues from x = $50,000
ex = own price elasticity of demand for x is = -2
ry = revenues from y = $30,000
cexy = cross price elasticity of demand between x and y = -0.6
Δp = Change in the price of product x = -1%
Substituting the values into equation (1), we have:
ΔTR = [(50,000 * (1 + (-2))) + (30,000 * (-0.6)] * (-1%)
ΔTR = [(50,000 - 100,000) - 18,000] * (-1%)
ΔTR = [-50,000 - 18,000] * (-1%)
ΔTR = -68,000 * (-1%)
ΔTR = $680
Therefore, if the firm lowers the price of product x by 1%, the change in the total revenues will be <u>$680</u>.
