Q1 Provide the linear model (goal function and constraints) to determine the optimal product mix for next week. Q2 Assume that BELL FRAGRANCES has unlimited machine capacity. In this case, what is the decision rule leading to the optimal product mix? Provide this optimal mix and the corresponding contribution. 93 . Start again from the initial situation and assume that the wage of direct labor would be fixed (instead of variable). How would this influence the formulation of the linear model? Explain your answer.Q1: Productmix decisions BELL FRAGRANCES produces two types of perfume: Amour and Love. 30 45 12 16 3 4 10 a 15 Given the current production capacity, which cannot be extended, the firm has 2 800 machine hours (MH) and 1 050 direct labor hours (DLH) available per week. The production of one bottle Amour requires 0.15 MH and 5 minutes direct labor, the production of one bottle Love requires 0.20 MH and 6 minutes direct labor. BELL FRAGRANCES can sell all the perfume produced