please answer for a and b! thanks

4. (25 marks) An assembly plant for high-definition televisions makes two types of TVs. Model X is aimed at the price-sensitive market and has a net value (i.e. after subtracting all variable costs) when leaving the plant of $150 per television. Model Y is 4K with many more features; its net value is $450 per television. Each Model X requires 6 labour-hours in assembly-line 1, and 4 labour-hours in assembly-line 2. Each Model Y requires two labour-hours in assembly-line 1, and 7.5 labour-hours in assembly-line 2. Each week assembly-line 1 is available for 6600 labour-hours, and assembly-line 2 is available for 8930 labour-hours. At least 40% of the total production must be of Model Y; however, they cannot sell more than 940 units of Model Y (a) Formulate a linear optimization model for this situation. Write every constraint in standard form ( a number), with a one or two word description of the purpose of the constraint. (b) Without plotting any points outside the 1500 by 1500 region on the graph paper found on page 6, solve the model, clearly indicating each constraint with a word description next to it, the feasible region, the trial and optimal isovalue lines, and the point of optimality. Compute the exact solution algebraically, and clearly state the recommendation and the OFV. For question 4. 1500 Model Y 1000 500 0 0 500 1000 1500 Model X