Asked by Myranda Jimenez on Jun 29, 2024

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Refer to Scenario 10.7. Suppose that the firm chooses to produce 200 ink pads. At this level of output the demand for ink pads is:

A) inelastic.
B) perfectly inelastic.
C) elastic.
D) unit elastic.

Unit Elastic

A situation where the percentage change in quantity demanded is equal to the percentage change in price, resulting in a price elasticity of demand equal to -1.

Green Ink Pads

Special ink pads used primarily for stamping, often utilized in art, crafting, or in administrative tasks requiring distinct color coding.

  • Describe the conditions under which monopolies will produce and how this is affected by changes in marginal costs and demand elasticity.
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ZK
Zybrea KnightJul 03, 2024
Final Answer :
C
Explanation :
To determine the elasticity of demand at an output level of 200 ink pads, we need to calculate the price elasticity of demand. Since the MR equation is given as MR = 2500 - 5Q, the corresponding demand function can be derived as follows:
MR = P * Q + Q * dQ/dP
2500 - 5Q = P * Q + Q * dQ/dP
dQ/dP = (2500 - 5Q) / (Q + P)
At an output level of 200 ink pads,
dQ/dP = (2500 - 5*200)/(200 + P)
If we assume that the price of green ink pads is constant at the profit-maximizing level of output, then we can use the midpoint formula to calculate the price elasticity of demand as:
Elasticity = (dQ/dP) * (P/Q) = [(2500 - 5Q)/(Q + P)] * (P/Q)
Elasticity = [(2500 - 5*200)/(200 + P)] * (P/200)
Elasticity = [(1500)/(200 + P)] * (P/200)
Elasticity = 7.5 / (1 + P/200)
Since the elasticity of demand is a decreasing function of P, it is highest (i.e., most elastic) when P = 0. This corresponds to a demand elasticity of -7.5, which means that demand is elastic at an output level of 200 ink pads. Therefore, the best choice is C because the firm should be able to increase its revenue by reducing the price of ink pads slightly since the demand is elastic.