Afinancier plans to invest up to $600,000 in two projects. project a yields a return of 8% on the investment, whereas project b yields a return of 16% on the investment. because the investment in project b is riskier than the investment in project a, she has decided that the investment in project b should not exceed 35% of the total investment. how much should the financier invest in each project in order to maximize the return on her investment?

To maximize return, A with 390000 and B with 210000

Step-by-step explanation:

Given that a financier plans to invest up to $600,000 in two projects

Let x be the amount invested in 8% and y in 16%

Other information given is the investment in project B is riskier than the investment in project A, she has decided that the investment in project B should not exceed 35% of the total investment.

i,.e.

Also

The objective is to maximize interest function

subject to the above two constraints.

The corner points would be P(390000,210000) or Q(600000,0)

Calculate Z for these two points

Profit at P =

Profit at Q =

So to maximize return, A with 390000 and B with 210000

i need a picture

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1