The pro t function, p(x), for a company is the cost function, c(x), subtracted from the revenue function, r(x). The pro t function for the Acme Corporation is p(x) = 0:5x 2 + 250x 300 and the revenue function is r(x) = 0:3x 2 + 150x. The cost function for the Acme Corporation is

Step-by-step explanation:

Given that the profit function is

p(x) = 0.5x^2 + 250x+300

also given that the revenue is given as

r(x) = 0.3x^2 + 150x

we know that profit= revenue - cost

hence cost = revenue-profit

cost = r(x) -p(x)

cost=  0.3x^2 + 150x-(0.5x^2 + 250x+300)

cost=  0.3x^2 + 150x-0.5x^2 - 250x-300

collect like terms

cost=0.3x^2-0.5^2+150x-250x-300

cost= -0.2x^2-100x-300

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m

if you was gonna solve for a, a is a   < -12