Find the minimum value using the simplex method (duality): P2x+3y5x+3yx≥0,t=8x+17y≥8≥25≥0

The green revolution is a scientific breakthrough that improved seeds for basic crops. how did the green revolution impact the supply of basic crops such as wheat and corn? the supply of wheat and corn increased. there was no impact on the supply of basic crops. the supply of basic crops did not change, but the quantity supplied of basic crops increased. the supply of wheat and corn decreased.

Andy purchases only two goods, apples (a) and kumquats (k). he has an income of $125 and can buy apples at $5 per pound and kumquats at $5 per pound. his utility function is u(a, k) = 6a + 2k. what is his marginal utility for apples and his marginal utility for kumquats? andy's marginal utility for apples (mu subscript a) is mu subscript aequals 6 and his marginal utility for kumquats (mu subscript k) is

Casey communications recently issued new common stock and used the proceeds to pay off some of its short-term notes payable. this action had no effect on the company's total assets or operating income. which of the following effects would occur as a result of this action? a. the company's current ratio increased. b. the company's times interest earned ratio decreased. c. the company's basic earning power ratio increased. d. the company's equity multiplier increased. e. the company's debt ratio increased.