Please answer without excel all questions!

3- Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $10 on each tractor and $10 on each lawn mower, and they sell all they can produce. The time requirements in the machine shop, fabrication, and tractor assembly are given in the table. Tractor Lawn Mower Hrs. Available Machine Shop 2 hours 1 hour 60 hours Fabrication 2 hours 3 hours 120 hours Assembly 1 hour O hour 45 hours Formulation: Let x = number of tractors produced per period y = number of lawn mowers produced per period MAX 10x + 10y s.t. 2x + y = 60 2x + 3y s 120 X545 70 60 50 40 Y 30 The graphical solution is shown on the right. Solve this example without Excel or QM (use the instruction for solving such LP problems in lectures) and answer the following questions: 20 10 0 D 10 20 30 40 50 80 70 i) How many tractors and saws should be produced to maximize profit, and how much profit will they make? X ii) If the shadow price for second constraint (i.e., fabrication available hours) is $2.5. How much extra profit we may earn if we pay $2 for 2 additional unit ($1 per additional unit) of resource in second constraint (i.e., change fabrication available hours from 120 to 122)? (Hint: use shadow price to find the extra revenue, then compute the extra profit)