Due to Corona Pandemic, two companies maintaing a Duopoly are going through a rough patch. Both of them are making losses, but they still want to maintain the Duopoly. So, they want to minimize their own losses. CompanyA produces qt amount of a product with C1 cost per unit and Company B produces [:2 amount of that product with 02 cost per unit. When selling, CompanyA receives a P1 price per unit and Company B receives a P2 price per unit . These are related to each other by, P1 = 335 + 14(11 5QQ, 01 2 2091+ 10 and P2 =2845q1+11q2, C2 2 16th + 14. Moreover, let L1 and L2 be the the amount of loss of Company A and Company B respectively. Here total loss =total costtotal revenue ; total revenue = Price per unit \" quantity and total cost = Cost per unit \" quantity a. Find the losses L1 and L2 as functions of (11 and (19,. [7"] b. Given that the Company A produces (11 units of the product, what amount of units q; should Company B produce to minimize its loss? [4] 1:. Given that the Company B produces ()2 units ofthe product, what amount of units (If should CompanyA produce to minimize its loss? [4] d. What amount of units (H and q; should the companies produce to keep their losses at minimum at the same time. [5]