1. For the following Linear programming problem

Objective to Maximize p= 50x + 20y

Subject to 20x + 40y 4000

100x + 50y 8000

x 60

x , y 0

Find which one is the optimal solution

( 60,40)

( 60,0 )

( 40,80 )

( 0, 100)

2. A school is re-evaluating its teachers salaries. They have decided to use regression analysis to predict average salaries at each elementary school. The researcher uses years of experience to predict the salaries. The resulting equation was: Y = 10000 + 500X

where Y = salary and X = years of experience

The forecasted salary for a teacher who has 10 years of experience is 15000

True

False

3. A farmer has 100 hectares of his farm available for planting wheat and saffron. He must grow at least 20 hectares of wheat and 10 hectares of saffron to meet demands. He prefers to plant more saffron then wheat but his workforce and equipment will only allow him to cultivate a maximum of four times the quantity of saffron to that of wheat. Assume if x and y represents the number of hectares of wheat and saffron respectively, then the system of inequalities is given by : x + y 100, x 20, y 10, y 4x.

True

False

4. The Graphical Method in Linear programming Problem can also work when there are more than two decision variables.

True

False