Question 8 To fill an order for 100 units of its product, a firm wishes to distribute production between its two factories, factory 1 and factory 2. The total cost function is given by: where 91 C= f(992)=0.1q,+7q, +15q2 +1000 and q2 are the numbers of units produced at factory 1 and factory 2, respectively. Based on the above scenario: a. State the constraint function. b. Give three examples of business constraint. C. [1 mark] [3 marks] Find the optimal outputs to be produced for factory 1 and factory 2 by utilizing the Langrage Multipliers Method. [6 marks]