An appliance manufacturer produces two models of microwave ovens: x and y. both models require fabrication work; each x uses 10 hour of fabrication and each y uses 15 hours of fabrication. there are 30 fabrication hours available this week. x and y contribute $40 and $50 to the total profit, respectively. to find quantities of x and y that will maximize the total profit, build a linear programming model and solve the lp model using solver. what is the optimal profit?

Auniversity spent $1.8 million to install solar panels atop a parking garage. these panels will have a capacity of 400 kilowatts (kw) and have a life expectancy of 20 years. suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kwh), and that the marginal cost of electricity production using the solar panels is zero. hint: it may be easier to think of the present value of operating the solar panels for 1 hour per year first. approximately how many hours per year will the solar panels need to operate to enable this project to break even? a. a.3,696.48 b.14,785.92 c.9,241.20 if the solar panels can operate only for 8,317 hours a year at maximum, the project (would/would not)break even?

Stocks a, b, and c are similar in some respects: each has an expected return of 10% and a standard deviation of 25%. stocks a and b have returns that are independent of one another; i.e., their correlation coefficient, r, equals zero. stocks a and c have returns that are negatively correlated with one another; i.e., r is less than 0. portfolio ab is a portfolio with half of its money invested in stock a and half in stock b. portfolio ac is a portfolio with half of its money invested in stock a and half invested in stock c. which of the following statements is correct? a. portfolio ab has a standard deviation that is greater than 25%.b. portfolio ac has an expected return that is less than 10%.c. portfolio ac has a standard deviation that is less than 25%.d. portfolio ab has a standard deviation that is equal to 25%.e. portfolio ac has an expected return that is greater than 25%.

You have been solicited to conduct a performance evaluation for a public organization that has been corrupted over issues of personnel embezzling funds. before actually conducting the evaluation, you—the evaluator—need to know certain specifics to conduct a thorough evaluation. compose a proposal that describes what type of evaluation will be conducted. in the proposal, explain the type of public organization. describe some of the main services, products, and activities the organization provides to the public. describe the size of the problem, who is affected by the problem, how long the problem has been in existence, and how long the evaluation will take. also, describe what the evaluation will assess with respect to organizational leadership. finally, what outcomes do you propose the evaluation will to achieve for the organization?