An investor has 75,000 to invest in a cd and a mutual fund. the cd yields 6% and the mutual fund yields 8%. the mutual fund requires a minimum investment of $8,000, and the investor requires that at least twice as much should be invested in cds as in the mutual fund. how much should be invested in cds and how much in the mutual fund to maximize the return? what is the maximumreturn?

investment in cd = x  = $50000

investment in mutual funds  = $ 25000

return = $5000

Step-by-step explanation:

let x be the investment in CD

let y be in mutual fund

from the data given we have

Return  = 6% x + 8% y

Return = 0.06 x + 0.08 y

plotting these three inequalities on graph  we have critical number as

(16000, 8000) : return = 0.06 (16000 + 0.08 (8000) = $1600

(50000, 25000) : return = 0.06 (50000) + 0.08 (25000) = $5000

(67000, 8000) return = 0.06 (67000) + 0.08(8000) = $4660

As we can see maximum benefit is $5000 so we have

investment in cd = x  = $50000

investment in mutual funds  = $ 25000

return = $5000

answer: x= -2y

step-by-step explanation: