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Chapter 3: Q36. (page 133)

There are a total ofworkers hours available per day for production at a calculator manufacturer. There areworkers 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.
36. what is the maximum profit?

Short Answer

Expert verified

The maximum profit=5525

Step by step solution

01

Step-1 –Determination of maximum value

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

$P = 50 g + 65 c$

At point $A (0, 85)$

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

At point $B (0, 80)$

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

At point $C (20, 0)$

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

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

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

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