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QUESTION

A TV manufacturer produces two styles of TV sets , the Cheapie and the Deluxe.

A TV manufacturer produces two styles of TV sets , the Cheapie and the Deluxe. They sell the Cheapie at a loss of $40 per set in hopes that the low price will attract customers to their stores where they will see and buy the Deluxe set instead. They make a profit of $60 on each Deluxe. There are several constraints on the manufacture of the two kinds of sets.

  • They must make at least 7 sets per day, total

  • They can use no more than 1750 man hours per day of labor. It takes 50 man hours to make the cheapie and 70 man-hours to make the deluxe

  • They can make at most 13 deluxes per day

  • Number of Deluxes must be no more than one and a half times the number of Cheapies made per day.

  • Number of Deuxes made per day can be at most 6 plus ⅗ of the number of cheapies

  • The number of Deluxes can be no more than 4 times the number of Cheapies less than 12

  1. Variables

  2. equation for net profit per day

  3. Inequalities for restriction

  4. Graph feasible region

  5. Identify the point at which it gives you a maximum feasible daily profit. Coordinates

  6. Find 2 Integer coordinates that gives you the same maximum feasible profit .

  7. Draw line where the company breaks even

  8. Largest amount that they could lose a day

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