Exercice 2: Consider a company whose toral revenue and total costs , in dollars are given nespectively by R ( q) = gooohn ( 0, 029+ 1) and C(9) - 70op-100129 where a devotes the number of units produced and q E so, 1 , 2, 3 , 14006 a ) Give the profit of the company if it sells sooo units by Determine the number of units that must be sold so that the total nevenue . be 21 597 $ c ) Determine the number of units that must be manufactured so that the costs production totals are 29545 $ d ) If q - 800, determine the nate ( speed ) at which it saves : i ) total production costs li ) total income e ) Evaluate : ill) Cmarginal ( 400) iv) Rmarginal ( 400) f) Determine the total revenue when it increases at the nate of 30 $ / unit 9 Determine the nate at which total costs vary when they rise at 23 240 82 4 b) Determine the number of units that must be sold to maximize the profir . Determine this maximum progir