Write a derivative formula for "I! function. 198 x) ' (72x)( 1 + mac-\"~35" + 15) ml i Need Help? 4. [-16 Points] LCALC CONS 3.6.021. ASK YOUR TEACHER PRACTICE ANOTHER The prot from the supply ofa certain commodity is modeled as P(q) = 40 + 60 |n{g) thousand dollars where q is the number of million unim produced. (a) Write an exprasion for average prot (in dollars per unit) when a million units are produced. (in) what are the prot and the average prot when 12 million units are produced? (Round your answers to three decimal places) prot $ , thousand average prot $ C] (c) How rapidly are profit and average profit changing when 12 million units are produced? (Round your answers to three decimal places.) prot 5 thousand per million units average profit 5 Spar million units (d) Why should managers consider the rate of change of average prot when making production decisions? 0 Average prot is the best indicator of how the market will perform in the future. 0 The rate of change Of average prot indicates the status of the economy. 0 Maximum average prot generally occurs at a lower production level than maximum prot. 0 Producing more products will lead to an Increase In the rate of change of average profit. Need Help? i Viewing Saved Wart Rev-run Lasrkgm 5. [-116 Points] LCALCCON53.6.023. A store has determined that the number of Bluray movies said monthly ls approximately n(x] = 6750(0329 movies where X is the average price In dollars. (a) Write the function for the model giving revenue in doilars, where x is the average price in dollars. R0!) = ' dollars (b) I! each movie costs the store $10.00, write the function for the model that gives prot In dollars, where It Is the average price in dollars. P(x) = I: dollars (c) Complete the table. (Round your answers to three decimal places.) Rates of Change of Revenue and Prot Iat- ofdmlg- Into a! change of revenue of mm (dollar! per dollar) (doll-u per dollar) (cl) What does the table indicate about the rate of change in revenue and the rate of change in prot at the same price? There Is a range of prices beginning near $14 for which the rate of change of revenue is Sllool e (revenue is ""30\"" o ) while the rate of change of prot is nus-lectu- o (prot is spier:t o )