Each coffee table produced by Kevin Watson Designers nets the firm a profit of $10. Each bookcase yields a $6 profit. Watson's firm is small and its resources limited. During any given production period (of 1week), 8 gallons of varnish and 12 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/Minimize the objective value.

Decision variables:

X = number of coffee tables produced / week

Y = number of bookcases produced / week

Objective function:

Z= ?x + ?y

Subject to:

1x + 1y ? 8

1x +2y ? 12

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

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

The optimum solution is:

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

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

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