3.) Appalachian Designs is a small manufacturer of furniture items that are sold throughout the summer at local festivals. Their production manager, J. P. Weaver, has to determine how many of each product to manufacture during the Spring production period. The products will require time on a planer, time on a lathe, and time in a finishing division. The time required for each product, the prot per unit, the maximum allowable production, the minimum production batch lot for each product, and the total hours available, are listed in the following table: Profit Per Maximum Minimum Products Planer Lathe Finishing Unit Production Batch Size A .3 .05 .15 $7.20 700 100* B .2 .03 .08 $5.80 1000 200 C .5 .12 .28 Text $11.10 300 75 D 3 .07 .18 $8.40 600 150 E 4 .10 .22 $9.30 500 100 Hours Avail 300 80 200 *This means that for Product A, they may produce none at all, but if they produce, they must produce between 100 and 700 units. The same is true of all products. Mr. Weaver would like to maximize prots, given the resources available. You are to provide the linear program that will assist him in these decisions