Natsano has at most $60,000 to invest in the common stocks of two companies. He estimates that an investment in company A will yield a return of 30%, whereas an investment in company B, which he feels is a riskier investment, will yield a return of 40%.
If he decides that his investment in the stocks of company A is to exceed his investment in the stocks of company B by at least $30,000, determine how much he should invest in the stocks of each company in order to maximize the returns on his investment.
Investment in company A $ __________.
Investment in company B $ __________.
45,000; 15,000
You might also like to view...
Write the statement in symbolic form.Let p: This is a hammer. q: This is a tool.If this is a hammer, then this is a tool.
A. p ? q B. p ? q C. p ? q D. p ? q
Provide an appropriate response.What is the distance x between the centers of these circles given that the length of the common tangent is 14?
A. 6
B. 48
C. 26
D. 6
Determine whether there is a maximum or minimum value for the given function, and find that value.f(x) = -x2 + 9x - 5
A. Minimum: -5
B. Minimum:
C. Maximum: -
D. Maximum:
Solve the problem.Assume that the annual sales of a small manufacturer can be modeled by a linear function and that sales were $10,500 in 1982 and $54,000 in 1987. Let x = 0 represent 1982 and f(x) represent annual sales, and write a formula for f(x).
A. f(x) = 8700x + 10,500 B. f(x) = 43,500x + 54,000 C. f(x) = 8700x + 54,000 D. f(x) = 43,500x + 10,500