Question

There are a total of workers hours available per day for production at a calculator manufacturer. There are workers hours variable for encasement and Quality Control each day. The table below shows the number of hours needed in each department for two different types of Calculators.

35. Determine the number of each type of calculator that is needed to make maximum profit.

Short answer

Number of graphing calculator =0

Number of CAS calculator =85

For maximum profit

Step-by-step solution

Step-1 –Determination of maximum value

The co-ordinates of A,B,C,D are $A(0,85),B(0,80),C(20,0),D(\frac{173}{3},0)$

$P=50g+65c$

At point $A(0,85)$

$\begin{array}{c}P=65\times 85\\ =5525\end{array}$

At point $B(0,80)$

$\begin{array}{c}P=65\times 80\\ =5200\end{array}$

At point $C(20,0)$

$\begin{array}{c}P=50\times 20\\ =1000\end{array}$

At point $D(\frac{173}{3},0)$

$\begin{array}{c}P=50\times \frac{173}{3}\\ =2883.33\end{array}$