Managerial economist estimates the price-quantity relationship for Textile Company to be p= 40-4q a. At what output rate demand is unitary elastic? b. Over what range of output demand is elastic? c. Over what ranges of the output of demand are inelastic?

So unit elastic at q = 5

inelastic above 5

and elastic below 5

Explanation:

The elasticity is determianted by the marginal revenue.

Our first goal is to find the marginal revenue function

p = 40 - 4q

total revenue(TR)  =  quantity times price

q x (40 - 4q) = -4q^2 +40q

marginal revenue TR(q)/d(q)  = -8q + 40

Now, with this fuction the economic analisys states that a demand is unit elastic when marginal revenue is zero.

It will be inelastic below zero and elastic above zero

MR will be zero when q = 5

-8(5) + 40 = 0

As quantity increases the demand will be inelastic

while

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