When calculating productivity, if you compare the output to a group of inputs (but not all inputs), you are conducting which type of productivity measure?

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

The state in which the manufacturing company you work for is located regulates the presence of a particular substance in the environment to concentrations ≤ x. recently-released, reliable research endorsed by the responsible federal agency conclusively demonstrates that the substance poses no risks at concentrations up to 5x. your company has asked you to consider designing a new process with a waste discharge stream containing up to 2x of the substance. based on the stated conditions, describe this possible.

In transportation model analysis, the stepping-stone method is used to: a. obtain an initial feasible solutionb. evaluate empty cells for possible degeneracyc. evaluate empty cells for potential solution improvementsd. identify a dummy origin pointe. balance supply and demand