P= 32x, + 28x2 (A) Using slack variables, determine the initial system for the linear programming problem. (B) Write the simplex tableau and identify the first pivot and the entering and exiting variables. (C) Use the simplex method to solve the problem. Maximize 2x, + X2 58 X1 + 5x2 58 X1, X2 20 subject to

Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 54 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges ​$500 for labor replacing shocks and ​$300 in labor for replacing​ brakes, how many jobs of each type should he complete a week to maximize his​ income?       Kevin should do enter your response here shock replacements and enter your response here brake replacements every week to maximize his weekly income.

A manufacturer of skis produces two models: a regular ski and a slalom ski. A set of regular skis produces a $25 profit and a set of slalom skis produces a profit of $50. The manufacturer expects a customer demand of at least 200 pairs of regular skis and at least 80 pairs of slalom skis. The maximum number of pairs of skis that can be produced by this

Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 42 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a we If he charges $500 for labor replacing shocks and $300 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements and brake replacements every week to maximize his weekly income.