Asimple model for travel costs involves the cost of gasoline and the cost of a driver. specifically, assume that gasoline costs $p/gallon and the vehicle gets g miles per gallon. also, assume that the driver earns $w/hour. complete parts a through g below. a. a plausible function to describe how gas mileage (in mi/gal) varies with speed v is g (v) = v (85−v)/60. evaluate g (0), g (40) and g (60) and explain why these values are reasonable.
b. at what speed does the gas mileage function have its maximum?
c. explain why the formula c (v) =l p/g (v) + l w/v gives the cost of the trip in dollars, where l is the length of the trip and v is the constant speed. show that the dimensions are consistent.
d. let l=400 mi, p=$4/gal, and w=$20/hr. at what (constant) speed should the vehicle be driven to minimize the cost of the trip?
e. should the optimal speed be increased or decreased (compared with part (d)) if l is increased from 400 mi to 500 mi? explain.
f. should the optimal speed be increased or decreased (compared with part (d)) if p is increased from $4/gal to $4.20/gal? explain.
g. should the optimal speed be increased or decreased (compared with part (d)) if w is decreased from $20/hr. to $15/hr.? explain.

1. revising for conciseness - eliminating flabby expressions,limiting long lead-ins, and dropping unnecessary fillerstime is money in any business environment. people want information communicated quickly and clearly. to make your writing more concise and understandable, avoid flabby expressions, long lead-ins, and unnecessary fillers. your audience will appreciate your brevity.1. if your writing contains a flabby expression like in view of the fact that, replace it with the word because / although / probably .for each of the following two sentences, choose the best revision.2. i am sending you this letter to inform you that we have experienced an unexpected surprise within our expense sheet, but we are positively certain we will solve it.1) we need to inform you that we have experienced an unexpected surprise with our expense sheet, but we are midway to an end result.2) we have identified a problem with our expense sheet, but we will solve it.3) i am sending you this letter to inform you that we have a problem with our expense sheet, but we are positively certain we have a solution.3. it is the user who should contact the center.1) everyone knows that it is the user who should contact the center.2) the user should contact the center.3) if there is a problem, the user should contact the center.read the following passage, and then answer the question.[1] you scheduled seven conference calls for this morning between 10 and 11 a.m. [2] generally, the company limits the number of conference calls to three per hour. [3] i’m letting you know that in the future, we should be more careful about scheduling.4. which revision limits the long lead-in in sentence 3? 1) in the future, we should be more careful about scheduling.2) i’m letting you know so that in the future we are more careful about scheduling calls.3) so that you know in the future, we should be more careful about scheduling.