Each coffee table produced by Kevin Watson Designers nets the firm a profit of $9. Each bookcase yields a $12 profit. Watson's firm is small and its resources limited. During any given production period (of 1week), 8 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 1 gallon of varnish and 2 lengths of wood.

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

1.) Objective function:

Z=

__X+__Y

2.) Subject to:

1X + 1Y (<=) or (=>) 8 [pick one]

1X + 2Y (<=) or (=>) 14 [pick one]

X, Y => 0

On the graph on the right, constraints C1 and C2 have been plotted.

3.) Using the point drawing tool, plot all the corner points for the feasible area.

4.) The optimum solution is:

X = ___ (round your response to two decimal places).

Y = ___ (round your response to two decimal places).

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