To control the risk, the client has specified that the total risk amount cannot exceed $300,000. the client wants to invest at least $250,000 in mutual fund 1 and at least $280,000 in mutual fund 2. in addition, the client also wants the total money invested in mutual fund 3 and mutual fund 5 to be no more than $500,000. with these restrictions, how much money should the company invest in each mutual fund so as to maximize the total annual return?

formulate a linear programming model for this investment problem.

(a) define the decision variables.

(b) determine the objective function. what does it represent?

(c) determine all the constraints. briefly describe what each constraint represents.

1. which one of the following would be an example of a supply-side market failure? a. a gas station is slowly leaking diesel fuel from its underground tanks, and after the leak is discovered, the business immediately cleans up the pollution at its own expense. b. a gas station is slowly leaking diesel fuel from its underground tanks, but the state uses taxpayer money to clean up the pollution rather than requiring the business to pay. c. your business wants to attract repeat customers by putting on a customer-appreciation picnic at a public park, but you decide not to because you couldn't prevent noncustomers from consuming the food and entertainment you provided. d. everyone rushes to the local retail outlet at midnight on the day of the release of a new video game console, and the store runs out before everyone is able to buy one.