Solve the problem below. For your initial post in Brightspace, copy the description of your company given. in the box below and then enter your solution to the four questions. To copy the description of your company, highlighting and using \"copy" from here in Mobius and then using \"paste" into 2 Brightspace should worlt. However. if when you copy and paste :3 you get 32 instead, then change your :32 to 392. Hint: This question is an extension to the topic of Discussion Three. For a certain company, the cost function for producing 3: items is C (at) = 30 a: + 150 and the 2 -l- 2,450. The maximum capacity of revenue function for selling :3 items is R (x) = 0.5(:c 70) the company is 110 items. The prot function P (:13) is the revenue function R [x] { how much it takes in) minus the cost function G (a?) {how much it spends). In economic models. one typically assumes that a company wants to maximize its prot. or at least make a prot! Answers to some of the questions are given below so that you can check your work. 1. Assuming that the company sells all that it produces, what is the prot function?j PM: @E- Hint: Prot = Revenue Cost as we examined in Discussion 3. 2. 1iu'lfhat is the domain of P [at]? Hint: Does calculating 19(3) make sense when a: = 10 or a: = 1,000? 3. The company can choose to produce either 40 or 50 items. What is their prot for each case, and which level of production should they choose? Prot when producing 40 items = Prot when producing 50 items = 3. The company can choose to produce either 40 or 50 items. What is their prot for each case, and which level of production should they choose? Prot when producing 40 items = Profit when producing 50 items = 4. Can you explain, from our model. why the company makes less profit when producing 10 more units