Maximum the profits

You may use a calculator for this entire test. SHOW ALL WORK. 1. A manufacturer of metal widgets makes two types, A and B. Each type A widget requires 0.5 h of cut- ting, 1.5 h of welding, and 1 h of finishing. Each type B widget requires 0.5 h of cutting, 1 h of weld- ing, and .1.5 h of finishing. Each day, 15 h of cutting time, 36 h of welding time, and 42 h of finishing time are available. If the profits on a type A widget and on a type B widget are $3 and $4, respectively, how many of each type of widget should be made each day to maximize the total profits? Widget A Widget B Hours available Cutting time 0.5 15 Welding time 1 .5 36 Finishing time 1.5 42 Profit (dollars 3 4 34 + 44 X- widget A y: w et B