10_ (4 pts) A plant produces two types of refrigerators, A and 3. There are two producton lines, one dedicated to producing refrigerators of A, the other to producing refrigerzlors of Type 3. The capacity of the producton line for is SO units per d,y,', the capacity of the producton line for 8 is 50 units per dsv_ A requires 20 minutes of S requires 40 minutes of labor. Presently, there is maximum of 40 hours of per which can te assigned to either production line. The plant sells one refrigerator of type A in 520 and one refrigerator of type 8 in 530 The formulaton to obtain the daily producton of refrigerators that maximize sales as follows: Decision variables: QA : Units type A refrigerator to produce Qg: Units type 3 refrigerator to produce Objective Function: Sales= 20 Qa Constraints: QasSO; 20 +40 Qa Assume that the t-.xed costs of SSCO and 5500 are associated with the use of producton lines A and B, respectvelv. For example, if the producton line 3 is used to make type 3 refrigerators, then fixed charge of SSOO is incurred. If type 3 refrigerzlors not mite, then there is no associated cost Rewrite the LP formulaton to consider the txed cost maximize WRITE THE FORMULATION. you DON'T NEED TO SOLVE IT) Write the answer in the format below Decision variables (Please write and define the decision variables that your formulation requires, including the ones already given by the problem) Objective function (Please rewrite the objective function) Constraints (Please write the constraints that your formulation requires)