For the discussion, please make sure that you show your detailed answers in the discussion board. In addition, you need to explain what are some of the implications of the numbers you found. Meaning, what do the numbers mean for you as a manager in a company?
VC= 20Q +0.006665Q2
MC= 20+0.01333Q
FC=$5000
P=50-0.01Q
MR=50-0.002Q
To maximize profits; MC=MR
20+0.01333Q= 50- 0.002Q
0.01533Q= 30
Q=1957kgs; quantity to produce in order to maximize profits
P= 50- 0.01(1957)
=$30.43
$30, the price to maximize profits
Profits= revenue - cost
(50-0.01Q)Q- TC
TC= VC + FC
20Q+0.006665Q2+5000
Profit= 50Q-0.01Q2 -(20Q+0.06665Q2 + 5000)
=50Q - 0.01Q2-20Q- 0.06665Q2 - 5000
=30Q- 0.07665Q2-5000