Problem 2. (25 scores) In addition to the settings of Problem 1, if any of type-7 or type-6 product is produced, an additional fixed cost of 2000 SGD is incurred. (Remark: If both type-7 and type-6 products are produced, the fixed cost is still 2000 SGD, not 4000 SGD.) Please formulate a mixed integer program- ming problem to maximize the company's profit. Please also solve the problem with Matlab CVX or Excel, and write down how many product of each type should be produced. (You do not need to attach the codes.) Problem 2. (25 scores) In addition to the settings of Problem 1, if any of type-7 or type-6 product is produced, an additional fixed cost of 2000 SGD is incurred. (Remark: If both type-7 and type-6 products are produced, the fixed cost is still 2000 SGD, not 4000 SGD.) Please formulate a mixed integer program- ming problem to maximize the company's profit. Please also solve the problem with Matlab CVX or Excel, and write down how many product of each type should be produced. (You do not need to attach the codes.)