Helen Holmes makes pottery by hand in her basement. She has 20 hours available each week to make bowls and vases. A bowl requires 3 hours of labor, and a vase requires 2 hours of labor. It requires 2 pounds of special clay to make a bowl and 5 pounds to produce a vase; she is able to acquire 35 pounds of clay per week. Helen sells her bowls for $50 and her vases for $40. She wants to know how many of each item to make each week to maximize her revenue.

a. Formulate an integer programming model for this problem.

b. Solve this model by using the computer. Compare this solution with the solution without inte-ger restrictions and indicate whether the rounded-down solution would have been optimal.

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You decide to invest in a portfolio consisting of 25 percent stock a, 25 percent stock b, and the remainder in stock c. based on the following information, what is the expected return of your portfolio? state of economy probability of state return if state occurs of economy stock a stock b stock c recession .16 - 16.4 % - 2.7 % - 21.6 % normal .55 12.6 % 7.3 % 15.9 % boom .29 26.2 % 14.6 % 30.5 %

Skychefs, inc. prepares in-flight meals for a number of major airlines. one of the company's products is grilled salmon in dill sauce with baby new potatoes and spring vegetables. during the most recent week, the company prepared 4000 of these meals using 960 direct labor hours. the company paid these direct labor workers a total of $19,200 for this work, or $20.00 per hour. according to standard cost card for this meal, it should require 0.25 direct labour-hours at a cost of $19.75 per hour.1. what is the standard labor-hours allowed (sh) to prepare 4,000 meals? 2. what is the standard labor cost allowed (sh x sr) to prepare 4,000 meals? 3. what is the labor spending variance? 4. what is the labor rate variance and the labor efficiency variance?