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Sye chase started and operated a small family architectural firm in 2016. the firm was affected by two events: (1) chase provided $25,000 of services on account, and (2) he purchased $2,800 of supplies on account. there were $250 of supplies on hand as of december 31, 2016. record the two transactions in the accounts. record the required year-end adjusting entry to reflect the use of supplies and the required closing entries. post the entries in the t-accounts and prepare a post-closing trial balance.

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.

Kumar consulting operates several stock investment portfolios that are used by firms for investment of pension plan assets. last year, one portfolio had a realized return of 12.6 percent and a beta coefficient of 1.15. the average t-bond rate was 7 percent and the realized rate of return on the s& p 500 was 12 percent. what was the portfolio's alpha?