3. Jeff considers one banana to be equivalent to three apples. a. Let a denote apples and b denote bananas. Write down a utility function U(a, b) that represents Jeff’s preferences over apples and bananas. b. Jeff has an income of Y and the prices of apples and bananas are pa and pb, respectively. Derive Jeff’s ordinary Marshallian demand functions for apples and bananas. Do these demand functions satisfy the law of demand? c. Derive Jeff’s Hicksian demand functions for apples and bananas

Roi analysis using dupont model. charlie? s furniture store has been in business for several years. the firm? s owners have described the store as a ? high-price, highservice? operation that provides lots of assistance to its customers. margin has averaged a relatively high 32% per year for several years, but turnover has been a relatively low 0.4 based on average total assets of $800,000. a discount furniture store is about to open in the area served by charlie? s, and management is considering lowering prices in order to compete effectively. required: a. calculate current sales and roi for charlie? s furniture store. b. assuming that the new strategy would reduce margin to 20%, and assuming that average total assets would stay the same, calculate the sales that would be required to have the same roi as they currently earned. c. suppose that you presented the results of your analysis in parts a and b of this problem to charlie, and he replied, ? what

Emil motycka is considered an entrepreneur because

Which of the following best describes why you need to establish goals for your program?