Using just two variables, formulate a linear optimization model for each of the following problems. Solve each model graphically, clearly indicating the feasible region, and both the trial and optimal isovalue lines. For each model, use alge- bra to determine the exact solution for the variables and the objective function value. You may nd it useful to also solve one or more of these problems on a spreadsheet. 2.11 Garment Problem When solving the following model, use a piece of graph paper with each axis labelled from D to 300, and draw all lines within the 300 by 300 grid. A garment factory makes blouses and dresses. Each blouse gives a prot of $2, while each dress gives a prot of $3. They can sell at most 190 dresses. Each garment spends time on three machines as follows: Minutes Machine -w Available Cutting 6 1413 Sewing 2 1213 Assembly 4 1317 The number of dresses must be at least 30% of the total number of garments made