Explain why taking a monotonic transformation of a utility function does not change the marginal rate of substitution (mrs).

Steele bicycle manufacturing company currently produces the handlebars used in manufacturing its bicycles, which are high-quality racing bikes with limited sales. steele produces and sells only 10,000 bikes each year. due to the low volume of activity, steele is unable to obtain the economies of scale that larger producers achieve. for example, steele could buy the handlebars for $31 each: they cost $34 each to make. the following is a detailed breakdown of current production costs: after seeing these figures, steele's president remarked that it would be foolish for the company to continue to produce the handlebars at $34 each when it can buy them for $31 each. calculate the total relevant cost. do you agree with the president's conclusion?

Galwaysc electronics makes two products. model a requires component a and component c. model b requires component b and component c. new versions of both models are released each year with updated versions of all components. all components are sourced overseas, and abc contracts annually for a quantity of each component before seeing that year’s demand. components are only assembled into finished products once demand for each model is known. for the coming year, alwaysc’s purchasing manner has proposed ordering 500,000 units of component a, 630,000 of component b, and 1,000,000 units of component c. her boss has asked why she has recommended purchasing so much of components a and b when alwaysc will not have enough of component c to fully use all of the inventory of a and b. what factors might the purchasing manager cite to explain her recommended order? explain your reasoning.

Investment x offers to pay you $5,700 per year for 9 years, whereas investment y offers to pay you $8,300 per year for 5 years. if the discount rate is 6 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y $ if the discount rate is 16 percent, what is the present value of these cash flows? (do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) present value investment x $ investment y