A truck has a minimum speed of 13 mph in high gear. When traveling x mph, the truck burns diesel fuel at the rate of 0.0027227(784x + x)gal/mile. Assuming that the truck can not be driven over 64 mph and that diesel fuel costs $1.96 a gallon, find the following: a. The steady speed that will minimize the cost of the fuel for a 570 mile trip.
b. The steady speed that will minimize the total cost of the trip if the driver is paid $12 an hour.
c. The steady speed that will minimize the total cost of a 540-mile trip if the driver is paid $20 an hour.

add 5 subtract 1

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204