Consider the following production function: q equals 8 lk plus 5 upper l squared minus (one third )upper l cubed . given the following expressions for the marginal productivity of each input: mp subscript upper l baseline equals 8 upper k plus 10 upper l minus upper l squared and mp subscript upper k baseline equals 8 upper l assuming capital is plotted on the vertical axis and labor is plotted on the horizointal axis, determine the value of the marginal rate of technical substitution when k = 30 and l = 10. (round your answer up to two decimal places and include the proper sign.)

Suzanna decided not to pay federal income tax, saying that paying federal income tax is optional. describe two possible consequences of suzanna’s decision

Assume that all of thurmond company’s sales are credit sales. it has been the practice of thurmond company to provide for uncollectible accounts expense at the rate of one-half of one percent of net credit sales. for the year 20x1 the company had net credit sales of $2,021,000 and the allowance for doubtful accounts account had a credit balance, before adjustments, of $630 as of december 31, 20x1. during 20x2, the following selected transactions occurred: jan. 20 the account of h. scott, a deceased customer who owed $325, was determined to be uncollectible and was therefore written off. mar. 16 informed that a. nettles, a customer, had been declared bankrupt. his account for $898 was written off. apr. 23 the $906 account of j. kenney & sons was written off as uncollectible. aug. 3 wrote off as uncollectible the $750 account of clarke company. oct. 20 wrote off as uncollectible the $1,130 account of g. michael associates. oct. 27 received a check for $325 from the estate of h. scott. this amount had been written off on january 20 of the current year. dec. 20 cater company paid $7,000 of the $7,500 it owed thurmond company. since cater company was going out of business, the $500 balance it still owed was deemed uncollectible and written off. required: prepare journal entries for the december 31, 20x1, and the seven 20x2 transactions on the work sheets provided at the back of this unit. then answer questions 8 and 9 on the answer sheet. t-accounts are also provided for your use in answering these questions. 8. which one of the following entries should have been made on december 31, 20x1?

At a student café, there are equal numbers of two types of customers with the following values. the café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i. e., she cannot price-discriminate). students with early classes students without early classes coffee 70 60 banana 51 101 the marginal cost of coffee is 10 and the marginal cost of a banana is 40. the café owner is considering three pricing strategies: 1. mixed bundling: price bundle of coffee and a banana for 161, or just a coffee for 70. 2. price separately: offer coffee at 60, price a banana at 101. 3. bundle only: coffee and a banana for 121. do not offer goods separately. assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle. for simplicity, assume there is just one student with an early class, and one student without an early class. price strategy revenue from pricing strategy cost from pricing strategy profit from pricing strategy 1. mixed bundling $ $ $ 2. price separately $ $ $ 3. bundle only $ $ $ pricing strategy yields the highest profit for the café owner.