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 1 week), 10 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.

Decision variables:

X = number of coffee tables produced / week

Y = number of bookcases produced / week

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

The optimum solution is:

Number of coffee tables produced per week = ____ (round your response to two decimal places).

Number of bookcases produced per week = _____ (round your response to two decimal places).

Objective function:

Z=

__X+__Y