Your automobile assembly plant has a Cobb-Douglas production function given by
?
?
where q is the number of automobiles it produced per year, x is the number of employees, and y is the daily operating budget (in dollars). Annual operating costs amount to an average of $30,000 per employee plus the operating budget of . Assume you wish to produce 1,500 automobiles per year at a minimum cost. How many employees should you hire?
?
A. 180 employees
B. 75 employees
C. 30 employees
D. 150 employees
E. 225 employees
Answer: D
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Find the zero of the linear function.H(x) = -5x + 35
A. -7 B. 30 C. 7 D. -30
Use the Binomial Theorem to expand the binomial and express the result in simplified form.(2x - 1)5
A. 32x5 - 80x4 + 80x3 - 40x2 + 10x - 1 B. 32x5 + 10x4 - 40x3 - 40x2 + 10x - 1 C. 32x5 - 16x4 + 8x3 - 4x2 + 2x - 1 D. (4x2 - 4x + 1)5
Divide and simplify.
A.
B. y12
C. y16
D.
Solve the problem.In a recent school board election, the two candidates for president received 1897 votes. The loser received 641 fewer votes than the winner. How many votes did the winner receive?
A. 628 votes B. 1269 votes C. 955 votes D. 1256 votes