经济问题其实是简单的数学问题求帮助啊Thedemandequationofagoodisgivenby:p＝－q+105,andthetotalcostfunctionisTC=q^2-3q=500(a)Findthemostprofitablelevelofoutputandtheprofitsatthatoutput.(b)Whenmaximisingpr

Question

经济问题 其实是简单的数学问题 求帮助啊
The demand equation of a good is given by:
p＝－q+105
,
and the total cost function is
TC=q^2-3q=500
(a) Find the most profitable level of output and the profits at thatoutput.
(b) When maximisingprofit does the firm produce at minimum average cost?

Answer 1

Total profit isTP = q*p - TC = q*(-q+105) - (q²-3*q+500) = -2*q² + 108*q - 500(a) To find the most profitable level of output q,take the derivative of the profit TP with respect to q,and set...