If the profit/unit of advanced sets increased by 70%, would the current values of the decision variables change? (Simply type "yes" or "no")Serious Toys Unlimited produces three types of building block sets for kids — Advanced Sets (A), Beginner Sets (B) and Intermediate Sets (C). The company has a total of 600 minutes available for production (280 minutes worth of labor time and 320 minutes worth of machine time). An advanced set requires 2 minutes of machine time and 9 minutes of labor time. A beginner set requires 8 minutes of machine time and 4 minutes of labor time. An intermediate set requires 4 minutes of machine time and 5 minutes of labor time. The material used to manufacture these sets is plastic, where 6 pounds is needed for each advanced set, 3 pounds is needed for each intermediate set and 5 pounds is needed for each beginner set. While an advanced set only earns a profit of $1.2, an intermediate set earns a profit of $1.4 and each beginner set earns $1.6 of profit. To fulfill its contract obligations, Serious Toys needs to produce at least 18 beginner sets. The company wants to determine the number of advanced, beginner and intermediate sets it can produce in order to meet its obligations and maximize profit, given that they only have 300 pounds of plastic to use.
1. If total available machine time increased by 50 minutes, would the profit increase? By how much if so?
2. If the total available machine time was to be increased by 100 minutes, which of the following statements would be true?:
A. The profit won't change because an additional 100 minutes would violate the range of optimality.
B. The profit would change because an additional 100 minutes would not violate the range of optimality.
C. The profit won't change because an additional 100 minutes would violate the range of feasibility.
D. The profit would change because an additional 100 minutes would not violate the range of feasibility.
E. There is not enough information to answer this question.
3. If the total available machine time was to be increased by 100 minutes, by how much would the value of Z increase?
4. How much would another 10 pounds worth of plastic be worth in terms of increase in profit? (If it is not worth anything, simply type "0").