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1. Finer Furniture produces three types of furniture - tables, chairs, and bookcases. The production of each of these involves both a carpentry process and a finishing process. The time required in each of these as well as lumber requirements in each product are given below:
Table Chair Bookcase Amount availableLumber 6 ft. 2 ft. 8 ft. 200 feetCarpentry 3 hr. 2 hr. 3 hr. 80 hoursFinishing 2 hr. 1 hr. 1 hr. 40 hours
The profit generated by each table is $40, by each chair is $30, and by each bookcase is $35. The company wishes to get the maximum profit possible, and a linear program is to be developed for this purpose.
a) Carefully define the decision variables.
b) Set up the linear program.
Find the joint distribution of the random sample in part (c). List all assumptions made when finding this joint distribution and explain whether or not each is reasonable in this scenario.
Neglecting atmospheric pressure, find the total force due to water pressure acting on a thin strip of the dam of height dy located at a depth y.
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Management in Pharmgen Corporation has come up with three possible decisions. The first one, the base case, is to leave things the way it is. The second one is to embark on an aggressive advertising campaign which would change the profit number in..
Formulate a mathematical model to help Widgetco determine the amount to produce at each plant so that net profit is maximized. Implement the model in Excel and use Solver to find the optimal solution.
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Question: Using the information in A and B, find the probability that the difference in mean BMI for 30 women and 35 men selected independently and at random from the respective populations will exceed 3.20.
Use the minimum/maximum regret method to determine the optimal location. Suppose the p(s1)=0.60, p(s2)=0.10 and p(s3)=0.30 Use the expected value method to determine the optimal location.
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