A Firm That Produces Two Types of Smartphone Cases Has

Essay

A firm that produces two types of smartphone cases has estimated the quantities of Type A and Type B cases that it can produce with two levels of total expenditures as shown in the table below.
$$\begin{array} { | l | l | l | l | } \hline { \text { Total Cost } = 80 } & & { \text { Total cost=110 } } \\\hline \text { Type A } & \text { Type B } & \text { Type A } & \text { Type B } \\\hline 50 & 0 & 60 & 0 \\\hline 45 & 30 & 55 & 40 \\\hline 35 & 50 & 40 & 70 \\\hline 20 & 60 & 24 & 90 \\\hline 0 & 70 & 0 & 100 \\\hline\end{array}$$ If it sells each of these products for $1 per unit, what is the optimal combination of Type A and Type B smartphone cases the firm should produce and what is the maximum profit it can achieve?