Q1. 1: Find the maximum and minimum ... [FREE SOLUTION]

Chapter 3: Q1. (page 149)

1: Find the maximum and minimum value of a linear function subject to constraints is called (linear, polygonal) programming.

Short Answer

Expert verified

Finding the maximum and minimum value of a linear function subject to constraints is called linear programming.

Step by step solution

Step-1 –Taking an example to justify the statement

A sporting goods manufacturer makes a $$ 5$ profit on soccer balls and a $$ 4$ profiton volleyballs. What is the function for the maximum and minimum value of profit.

Assumption profit on $1$ soccer ball $= $ 4 .$

Step-2 –Assumption of variables

Let $x$ and $y$ be the number of soccer balls and volleyballs are produced.

Step-3 –Drafting the condition for maximum and minimum value of profit

Profit on $1$ soccer ball $= $ 5$

Profit on $x$ soccer ball $= $ 5 x$

Profit on $1$ volleyball $= $ 4$

Profit on $y$ volleyball $= $ 4 y$

So, the function of profit $= 5 x + 4 y .$

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91影视

1: Find the maximum and minimum value of a linear function subject to constraints is called (linear, polygonal) programming.

Short Answer

Step by step solution

Step-1 –Taking an example to justify the statement

Step-2 –Assumption of variables

Step-3 –Drafting the condition for maximum and minimum value of profit

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