MATH 1110 ASSIGNMENT # 1 Due Date: TUESDAY, SEPTEMBER 26 ( at the beginning of c

Question

MATH 1110 ASSIGNMENT # 1 Due Date: TUESDAY, SEPTEMBER 26 ( at the beginning of class) Show all work in a NEAT AND ORDERLY FASHION A manufacturer produces three models of television sets: deluxe, super deluxe and ultra. Each deluxe set finishing time.. Each super deluxe set requires 1 hour of electronics work, 3 hours of assembly time and 1 hour of finishing time. Each ultra set requires 3 hours of electronics work , 2 hours of assembly time and 2 hours of finishing time. There are 100 hours available for electronics work, 100 hours available for assembly and 65 hours available for finishing per week.. . Create a system of equations to represent this problem and. find how many models can be produced each week if all available time is to be used. requires 2 hours of electronics work , 2 hours of assembly time and 1 hour of

Explanation / Answer

Let x1 be the number of Delux sets,x2 be Super Delux and x3 be ultra
MAX z = x1 + x2 + x3
subject to
2x1 + x2 + 3x3 = 100
2x1 + 3x2 + 2x3 = 100
x1 + x2 + 2x3 = 65
and x1,x2,x3 >= 0

Hence, optimal solution is arrived with value of variables as :
x1=15,x2=10,x3=20

Max z=45

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