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Math 155 Lab Assignment 4 Complete the following problems showing your work and clearly communicating your answers. Submit this assignment via email by making a pdf, taking pictures, or providing a document link 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price . Quantity For a particular item the price is x dollars At that price of x dollars the quantity sold is 2x + 30 + 100 a. Write a function for the revenue in terms of the price (your equation should only contain variables for revenue and price). b. Profit is calculated by subtracting the cost of making the item from the revenue generated by selling the item: Profit = Revenue - Cost For the particular item in part (a), the cost of making the item is 3x + 15x, where x is again the price of the item. Write a function for the profit in terms of the price (your equation should only contain variables for profit and price). c. Find the price that gives the maximum profit. Also, find that maximum profit