Aconsumer is trying to decide between two long-distance calling plans. the first one charges a flat rate of 10¢ per minute, whereas the second charges a flat rate of 99¢ for calls up to 20 minutes in duration and then 10¢ for each additional minute exceeding 20 (assume that the calls lasting a noninteger number of minutes are charged proportionately to a whole-minute's charge). suppose the consumer's distribution of call duration is exponential with parameter λ. (a) explain intuitively how the choice of calling plan should depend on what the expected call duration is.

For each of the following cases determine the ending balance in the inventory account. (hint: first, determine the total cost of inventory available for sale. next, subtract the cost of the inventory sold to arrive at the ending balance.)a. jill’s dress shop had a beginning balance in its inventory account of $40,000. during the accounting period jill’s purchased $75,000 of inventory, returned $5,000 of inventory, and obtained $750 of purchases discounts. jill’s incurred $1,000 of transportation-in cost and $600 of transportation-out cost. salaries of sales personnel amounted to $31,000. administrative expenses amounted to $35,600. cost of goods sold amounted to $82,300.b. ken’s bait shop had a beginning balance in its inventory account of $8,000. during the accounting period ken’s purchased $36,900 of inventory, obtained $1,200 of purchases allowances, and received $360 of purchases discounts. sales discounts amounted to $640. ken’s incurred $900 of transportation-in cost and $260 of transportation-out cost. selling and administrative cost amounted to $12,300. cost of goods sold amounted to $33,900.a& b. cost of goods avaliable for sale? ending inventory?