Suppose there are only two people, simon and charity, who must split a fixed income of $100. for simon, the marginal utility of income is 400 2ssmui  whereas for charity the marginal utility of income is 400 6ccmui  where si and ci are the amounts of income for simon and charity, respectively. a. [5 points] what is the optimal distribution of income if the social welfare function is additive? b. [5 points] what is the optimal distribution if society values only the utility of charity? what if the reverse is true? comment on your answers. c. [5 points] finally, comment on how your answers change if the marginal utility of income for both simon and charity is constant: 400scmu mu.

Ardmore farm and seed has an inventory dilemma. they have been selling a brand of very popular insect spray for the past year. they have never really analyzed the costs incurred from ordering and holding the inventory and currently fave a large stock of the insecticide in the warehouse. they estimate that it costs $25 to place an order, and it costs $0.25 per gallon to hold the spray. the annual requirements total 80,000 gallons for a 365 day year.a. assuming that 10,000 gallons are ordered each time an order is placed, estimate the annual inventory costs.b. calculate the eoq.c. given the eoq calculated in part b., how many orders should be placed and what is the average inventory balance? d. if it takes seven days to receive an order from suppliers, at what inventory level should ardmore place another order?

Greenway industries is a major multinational conglomerate. its business units compete in a range of industries, including home appliances, pharmaceuticals, commercial real estate, and plastics manufacturing. although its largest business unit, which produces kitchen appliances, is among the most profitable in the industry, it generates only 35 percent of the company's revenues. which of the following is most likely true of greenway's stock price? a. it is valued at less than the sum of its individual business units. b. it is valued at greater than the sum of individual business units. c. it is valued at the exact sum of individual business units. d. it is consistently lower than the industry average.it is valued at greater than the sum of individual business units.

Barbara flynn is in charge of maintaining hospital supplies at general hospital. during the past year, the mean lead time demand for bandage bx-5 was 65 (and was normally distributed). furthermore, the standard deviation for bx-5 was 6. ms. flynn would like to maintain a 90% service level.refer to the standard normal table for z-values.a) what safety stock level do you recommend for bx-5? safety stock=)what is the appropriate reorder point? reorder point=