Lolita, the holstein cow, has a utility function is u(x, y) = x − x²/2 + y, where x is her consumption of cow feed and y is her consumption of hay. if the price of cow feed is $0.30, the price of hay is $1, and her income is $4, and if lolita chooses the combination of hay and cow feed that she likes best from among those combinations she can afford, her utility will be:

$23,214

Step-by-step explanation:

Simple interest = principal× rate × time or PRT/100 when rate is in percentage.

The total amount that will be earned at the end of each investment is given by

T = P(1 + (t × r/100))

Where T = total earning on investment P = principal, t= time in years, r = rate percentage

Given for investment 1; P = $7770, t = 6 month = 0.5years, rate = 5.8%

For investment 2 ; P = $12500 , t = 3years ,rate = 7.25%

For both investment:

T = 7770(1 + ( 0.5 × 5.8/100)) + 12500(1 + (3 × 7.25/100))

T = 7770(1.029) + 12500(1.2175)

T = $23,214.08

T = $23,214 (to the nearest dollar)