A negative dual price for a constraint in a minimization problem means .a. as the right-hand side increases, the objective function value will increase. b. as the right-hand side increases, the objective function value will decrease. c. as the right-hand side decreases, the objective function value will decrease. d. as the right-hand side decreases, the objective function value will increase.

Forecasting as a first step in the team’s decision making, it wants to forecast quarterly demand for each of the two types of containers for years 6 to 8. based on historical trends, demand is expected to continue to grow until year 8, after which it is expected to plateau. julie must select the appropriate forecasting method and estimate the likely forecast error. which method should she choose? why? using the method selected, forecast demand for years 6 to 8.

When the two countries did not specialize, the total production of jeans was 23 million pairs per month, and the total production of corn was 68 million bushels per month. because of specialization, the total production of jeans has increased by million pairs per month, and the total production of corn has increased by million bushels per month. because the two countries produce more jeans and more corn under specialization, each country is able to gain from trade?

In the short-run, marginal costs are equal to the change in variable costs as output changes. ( mc = change in variable cost / change in quantity) assume that capital is fixed in the short-run. (a) start with the equation for marginal cost and derive an equation that relates marginal cost of production to the cost and productivity of labor. (b) draw a standard looking short-run marginal cost curve and use the equation you derived to explain its shape.