Solve the problem.Financial analysts in a company that manufactures ovens arrived at the following daily cost equation for manufacturing x ovens per day: C(x) = x2 + 4x + 1800. The average cost per unit at a production level of x ovens per day is
(x) = C(x)/x. (i) Find the rational function
. (ii) Sketch a graph of
(x) for 10 ? x ? 125. (iii) For what daily production level (to the nearest integer) is the average cost per unit at a minimum, and what is the minimum
average cost per oven (to the nearest cent)? HINT: Refer to the sketch in part (ii) and evaluate (x) at appropriate integer values until a minimum value is found.
A. (i) (x) =
(ii)
(iii) 61 units; $133.29 per oven
B. (i) (x) =
(ii)
(iii) 22 units; $48.93 per oven
C. (i) (x) =
(ii)
(iii) 42 units; $88.86 per oven
D. (i) (x) =
(ii)
(iii) 44 units; $185.61 per oven
Answer: C
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Find the vector projv u.v = k, u = 2i + 6j + 9k
A. i +
j +
k
B. k
C. i +
j +
k
D. 9k
Provide an appropriate response.
A conduit ABCD must be made so that ?CBE is 45°. If BE = 5 cm and AK = 16 cm, find the length of the conduit to the nearest thousandth of a centimeter.
A. 18.071 cm B. 23.071 cm C. 14.536 cm D. 19.660 cm
Solve each problem.If the price charged for a bolt is p cents, then x thousand bolts will be sold in a certain hardware store, where How many bolts must be sold to maximize revenue?
A. 774 bolts B. 387 bolts C. 774 thousand bolts D. 387 thousand bolts
Solve the equation. =
A.
B.
C.
D.