Sarah buys $94 of art supplies.She buys b packages of brushes and each package is $6. She buys t tubes of acrylic paint, each costing $4. Sarah buys a total of 20 items all together. Write and show work solving a system of two equations (either by substitution or elimination) indicating how many brushes (b) and tubes (f) of acrylic paint she bought.

Solve, a. A student earns $15 per hour for tutoring and $10 per hour as a teacher’s aide. Let x = the number of hours each week spent tutoring and let y = the number of hours each week spent as a teacher’s aide. Write the objective function that models total weekly earnings. b. The student is bound by the following constraints: ? To have enough time for studies, the student can work no more than 20 hours per week. ? The tutoring center requires that each tutor spend at least three hours per week tutoring. ? The tutoring center requires that each tutor spend no more than eight hours per week tutoring. Write a system of three inequalities that models these constraints. c. Graph the system of inqualities in part (b). Use only the first quadrant and its boundary, because x and y are nonnegative. d. Evaluate the objective function for total weekly earnings at each of the four vertices of the graphed region. [The vertices should occur at (3, 0), (8, 0), (3, 17), and (8, 12).] e. Complete the…

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NEED HELP WITH OBJECTIVE LP MODELS, PLEASE WALK THROUGH EXCEL (SOLVER). I HAVE PART OF THIS COMPLETED, NEED HELP WITH "BOLDED" PARTS. TY! Blue Ridge Hot Tubs manufactures and sells two models of hot tubs: the Aqua-Spa and the Hydro-Lux. Howie Jones, the owner and manager of the company, needs to decide how many of each type of hot tub to produce during his next production cycle. Howie buys prefabricated fiberglass hot tub shells from a local supplier and adds the pump and tubing to the shells to create his hot tubs. (This supplier has the capacity to deliver as many hot tub shells as Howie needs.) Howie installs the same type of pump into both hot tubs. He will have only 200 pumps available during his next production cycle. From a manufacturing standpoint, the main difference between the two models of hot tubs is the amount of tubing and labor required. Each Aqua-Spa requires 9 hours of labor and 12 feet of tubing. Each Hydro-Lux requires 6 hours of labor and 16 feet of tubing. Howie…