Department E had 4,000 units in Work in Process that were 40% completed at the beginning of the period at a cost of $12,500, 14,000 units of direct materials were added during the period at a cost of $28,700, 15,000 units were completed during the period, and 3,000 units were 75% completed at the end of the period. All materials are added at the beginning of the process. Direct labor was $32,450 and factory overhead was $18,710. The number of equivalent units of production for the period for conversion if the weighted average method is used to cost inventories was

a.18,000

b.15,650

c.14,850

d.17,250

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x, y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Read the following paragraph, and choose the best revision for one of its sentences. dr. blake is retiring at the end of the month. there will be an unoccupied office upon his departure, and it is big in size. because every other office is occupied, we should convert dr. blake’s office into a lounge. it is absolutely essential that this issue is discussed at the next staff meeting. (a) because every other office is occupied, it’s recommended that we should convert dr. blake’s office into a lounge. (b) because every other office is filled, we should convert dr. blake’s office into a lounge.

The gilbert instrument corporation is considering replacing the wood steamer it currently uses to shape guitar sides. the steamer has 6 years of remaining life. if kept, the steamer will have depreciaiton expenses of $650 for five years and $325 for the sixthyear. its current book value is $3,575, and it can be sold on an internet auction site for$4,150 at this time. if the old steamer is not replaced, it can be sold for $800 at the endof its useful life. gilbert is considering purchasing the side steamer 3000, a higher-end steamer, whichcosts $12,000 and has an estimated useful life of 6 years with an estimated salvage value of$1,500. this steamer falls into the macrs 5-year class, so the applicable depreciationrates are 20.00%, 32.00%, 19.20%, 11.52%, 11.52%, and 5.76%. the new steamer is fasterand allows for an output expansion, so sales would rise by $2,000 per year; the newmachine's much greater efficiency would reduce operating expenses by $1,900 per year. to support the greater sales, the new machine would require that inventories increase by$2,900, but accounts payable would simultaneously increase by $700. gilbert's marginalfederal-plus-state tax rate is 40%, and its wacc is 15%.a. should it replace the old steamer? b. npv of replace = $2,083.51