Each coffee table produced by Kevin Watson Designers nets the firm a profit of $10. Each bookcase yields a $12 profit. Watson's firm is small and its resources limited. During any given production period (of 1 week), 10 gallons of varnish and 14 lengths of high-quality redwood are available. Each coffee table requires approximately 1 gallon of varnish and 1 length of redwood. Each bookcase takes 1gallon of varnish and 2 lengths of wood.

A. The aim of the objective function for Kevin should be to Maximize the objective value.

Decision variables:

X = number of coffee tables produced / week

Y = number of bookcases produced / week

B.

Objective function:

Z=

1010X+1212Y

Subject to:

1X+1Y

less than or equals 10

(C1)

1X+2Y

less than or equals 14

(C2)

Part 6

X, Y 0

Make a graph and plot all the corner points for the feasible area.

THE PART I NEED HELP WITH

The optimum solution is:

X=_____

Y = _____

(round your response to two decimal places).

Optimal solution value Z = _____(round your response to two decimal places).