) What is a marketing problem in applications of linear optimization? Briefly discuss the decision variables, the objective function and the constraint requirements in a marketing problem. Give a real world example of a marketing problem. Answer in at least eight sentences.

1. all other things equal, according to the law of demand, when the price of a good falls, the demand for the good falls the demand for the good rises the quantity demanded of the good falls the quantity demanded of the good rises 2. when a market is in equilibrium, the quantity of the good that buyers are willing and able to buy exactly equals the quantity that sellers are willing and able to sell cannot be determined is less than the quantity that sellers are willing and able to sell is greater than the quantity that sellers are willing and able to sell 3. which of the following factors does not influence the demand for a good or service? consumer (buyer) income the price of related goods the number of sellers buyer expectations 4. when the number of sellers in a market increases, demand rises supply rises the price rises, all else equal the number of buyers falls

Alpha industries is considering a project with an initial cost of $8 million. the project will produce cash inflows of $1.49 million per year for 8 years. the project has the same risk as the firm. the firm has a pretax cost of debt of 5.61 percent and a cost of equity of 11.27 percent. the debt–equity ratio is .60 and the tax rate is 35 percent. what is the net present value of the project?

Suppose portugal has 700 workers and 26,000 units of capital, and france has 18,000 workers and 700 units of capital. technology is identical in both countries. assume that wine is the capital-intensive good and cloth is the labor-intensive good. which of the following statements is correct if the nations start trading with each other? a) wages will increase in portugal.b) rental rates in france will increase.c) wages in france will decrease.d) rental rates in portugal will increase.