Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
A. 14 P1 planes and 7 P2 planes
B. 5 P1 planes and 22 P2 planes
C. 13 P1 planes and 9 P2 planes
D. 9 P1 planes and 13 P2 planes
Answer: A
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Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = 0, local minimum B. f(7, 10) = 17,301, saddle point; f(10, 7) = 14,700, saddle point C. f(70, 70) = 882,000, local maximum; f(0, 0) = 0, local minimum D. f(70, 70) = 882,000, local maximum
Find the absolute maxima and minima of the function on the given domain. on the diamond-shaped region
A. Absolute maximum: at
and
absolute minimum: 0 at
B. Absolute maximum: 8 at
and
absolute minimum: 0 at
C. Absolute maximum: at
and
absolute minimum: 0 at
and
D. Absolute maximum: at
and
absolute minimum: 8 at
and
Answer the question.f(x) = Does
f(x) exist?
A. No B. Yes
Solve the problem.Find the value of a retirement savings account paying an APR of 5.8% after 45 years (contributions made at the end of each year, including the last year) when the annual contribution is $1200. Round your answer to the nearest cent.
A. $214,705.00 B. $256,064.38 C. $226,552.56 D. $230,855.41 E. $240,892.61