The Brian Electronics Company produces two products: (1) the Brian Walkman, a portable CD/DVD player, and (2) the Brian Watch-TV, a wristwatch-size internet-connected colour television. The production process for each product is similar in that both require a certain number of hours of electronic work and a certain number of labour-hours in the assembly department. Each Walkman takes 4 hours of electronic work and 2 hours in the assembly shop. Each Watch-TV requires 3 hours in electronics and 1 hour in assembly. During the current production period, 240 hours of electronic time are available, and 100 hours of assembly department time are available. Each Walkman sold yields a profit of R7; each Watch-TV produced may be sold for a R5 profit. 5.2.1 Formulate the constraints for this problem. 5.2.2 Represent these constraints graphically and clearly indicate the feasible region. 5.2.3 What is the objective function in terms of ??1 and ??2 that will maximize the profit in Brian Electronics Company?
5.2 The Brian Electronics Company produces two products: (1) the Brian Walkman, a portable CD/DVD player, and (2) the Brian Watch-TV, a wristwatch-size internet-connected colour television. The production process for each product is similar in that both require a certain number of hours of electronic work and a certain number of labour-hours in the assembly department. Each Walkman takes 4 hours of electronic work and 2 hours in the assembly shop. Each Watch-TV requires 3 hours in electronics and 1 hour in assembly. During the current production period, 240 hours of electronic time are available, and 100 hours of assembly department time are available. Each Walkman sold yields a profit of R7; each Watch-TV produced may be sold for a R5 profit.
5.2.1 Formulate the constraints for this problem.
5.2.2 Represent these constraints graphically and clearly indicate the feasible region.
5.2.3 What is the objective function in terms of ??1 and ??2 that will maximize the profit in Brian Electronics Company?
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