The profit from the supply of a certain commodity is modeled as P(q) = 20+50 In(g) thousand dollars where q is the numbe

[answerhappygod]

The Profit From The Supply Of A Certain Commodity Is Modeled As P Q 20 50 In G Thousand Dollars Where Q Is The Numbe 1 (28.55 KiB) Viewed 34 times

The Profit From The Supply Of A Certain Commodity Is Modeled As P Q 20 50 In G Thousand Dollars Where Q Is The Numbe 2 (27.98 KiB) Viewed 34 times

The Profit From The Supply Of A Certain Commodity Is Modeled As P Q 20 50 In G Thousand Dollars Where Q Is The Numbe 3 (20.96 KiB) Viewed 34 times

The profit from the supply of a certain commodity is modeled as P(q) = 20+50 In(g) thousand dollars where q is the number of million units produced. (a) Write an expression for average profit (in dollars per unit) when q million units are produced. P(q) = (b) What are the profit and the average profit when 14 million units are produced? (Round your answers to three decimal places.) profit S thousand average profit s (c) How rapidly are profit and average profit changing when 14 million units are produced? (Round your answers to three decimal places.) profit S thousand per million units average profit S per million units (d) Why should managers consider the rate of change of average profit when making production decisions? Producing more products will lead to an increase in the rate of change of average profit. 4 O Average profit is the best indicator of how the market will perform in the future. The rate of change of average profit indicates the status of the economy. Ⓒ Maximum average profit generally occurs at a lower production level than maximum profit.
A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) = 6750(0.931") movies where x is the average price in dollars. (a) Write the function for the model giving revenue in dollars, where x is the average price in dollars. R(x) = dollars (b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the average price in dollars. P(x) = dollars (c) Complete the table. (Round your answers to three decimal places.) Rates of Change of Revenue and Profit Rate of change of revenue (dollars per dollar) Price 513 $20 $21 522 be done the tablicate that th Rate of change of profit (dollars per dollar)
(Round your answers to three decimal places.) Rates of Change of Revenue and Profit 162 Price $13 $14 $20 $21 $22 Rate of change of revenue (dollars per dollar) Rate of change of profit (dollars per dollar) What does the table indicate about the rate of change in revenue and the rate of change in profit at the same price? There is a range of prices beginning near $14 for which the rate of change of revenue is -Select- (revenue is --Select- -Select- (profit is-Select-- while the rate of change of profit is