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Help me answer this question please. Q1.Mike produces two types of cups (Type 1 and Type 2).A type 1 cup needs twice as much labor

Help me answer this question please.

Q1.Mike produces two types of cups (Type 1 and Type 2).A type 1 cup needs twice as much labor time as a Type 2 cup. If all the available labor time is dedicated to Type 2 cup alone, the company can make a total of 440 Type 2 cups a day.The respective market limits for the two types are 150 and 200 cups per day. The revenue is $6 per Type 1 cup and $4 per Type 2 cup. Let p, q be the number of Type 1 cups and Type 2 cups made per day respectively. The company plans to maximize its revenue.

  1. Formulate the problem as a linear program
  2. Use the graphical solution to determine the optimal solution
  3. If the daily demand limit on Type 1 cup is decreased to 120, does the optimal solution changed?
  4. How much can the market limit increase for Type 2 cup when the optimal solution remains

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