Consider the following production function: q equals 8 lk plus 5 upper l squared minus left parenthesis one third right parenthesis 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.)

Identifying transactions national park tours co. is a travel agency. the nine transactions recorded by national park tours during may 2019, its first month of operations, are indicated in the following t accounts: cash (1) 75,000 (2) 900 (7) 8,150 (3) 1,600 (4) 6,280 (6) 2,700 (9) 2,500 accounts receivable (5) 12,300 (7) 8,150 supplies (2) 900 (8) 660 equipment (3) 8,000 accounts payable (6) 2,700 (3) 6,400 beth worley, capital (1) 75,000 beth worley, drawing (9) 2,500 fees earned (5) 12,300 operating expenses (4) 6,280 (8) 660 indicate for each debit and each credit (a) whether an asset, liability, owner's equity, drawing, revenue, or expense account was affected and (b) whether the account was increased (+) or decreased account debited account credited transaction type effect type effect (1) (2) (3) (4) (5) (6) (7) (8) (9)

You have $22,000 to invest in a stock portfolio. your choices are stock x with an expected return of 11 percent and stock y with an expected return of 13 percent. if your goal is to create a portfolio with an expected return of 11.74 percent, how much money will you invest in stock x? in stock y?

Which law would encourage more people to become homeowners but not encourage risky loans that could end in foreclosure? options: offering first time homebuyers tax-free accounts to save for down payments requiring all mortgages to be more affordable, interest-only loans outlawing home inspections and appraisals by mortgage companies limiting rent increases to less than 2% a year