In spending all his income on beer and pizza, fred finds that the marginal utility of the last pizza he consumed is 8, and the marginal utility of the last bottle of beer is 4. the price of a bottle of beer is $1.50. if fred has maximized his utility, the price of pizza must be:

Mr. beautiful, an organization that sells weight training sets, has an ordering cost of $40 for the bb-1 set. (bb-1 stands for body beautiful number 1.) the carrying cost for bb-1 is $5 per set per year. to meet demand, mr. beautiful orders large quantities of bb-1 seven times a year. the stockout cost for bb-1 is estimated to be $50 per set. over the past several years, mr. beautiful has observed the following demand during the lead time for bb-1: demand during lead time probability40 0.150 0.260 0.270 0.280 0.290 0.1total 1.0the reorder point for bb-1 is 60 sets. what level of safety stock should be maintained for bb-1?