Volume Postal requirements specify that parcels must have length plus girth of at most 84 inches. Consider the problem offinding the dimensions of the square-ended rectangular package of greatest volume that is mailable.(a) Draw a square-ended rectangular box Label each edge of the square end with the letter xand label the remainingdimension of the box with the letter h.(b) Express the length plus the girth in terms of x and h.(:1 Determine the objective and constraint equations.(d) Express the quantity to be maximized as a function of x(e) Find the optimal values of x and h.

You are a clerk at convenience store. a customer owes 11.69 for a bag of potatoes chips. she gives you a five dollar bill. how much change should the customer receive?

Two airplanes start at the same place and travel in opposite directions,one at 395 miles per hour and the other at 422 miles per hour. how many hours will it take for the planes to be 2451 miles apart?

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?