(a) Fashionista Toys makes three versions of the tiny 'Oh My Gosh You' dolls. The first version requires 10 minutes each for manufacturing and packaging and 2 pounds of plastic, the second version requires 12 minutes of manufacturing and packaging and 3 pounds of plastic and the third version entails 15 minutes for fabrication and packaging and 4 pounds of plastic. There are 8 hours of manufacturing and packaging available and 200 pounds of plastic available for the next production cycle. The unit profits are $1 for each Version 1. S5 for each Version 2 and $6 for each Version 3. A minimum of 10 units of each must be made to fill previous orders. Formulate a linear programming model that will determine the optimal production quantities for profit maximization