Your automobile assembly plant has a cobb-douglas production function given by
q = x0.4y0.6,
where q is the number of automobiles it produces 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 $26,000 per employee plus the operating budget of $365y. assume that you wish to produce 1,000 automobiles per year at a minimum cost. how many employees should you hire? (round your answer to the nearest employee.)

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.