1. AAA Dance Shoes makes dancing shoes with leather soles. The shoes manufacture. The fixed cost for the product line is $45,000. The company has determined their demand function to be q = -200p + 30,000, where p is the price for each pair of shoes. Write the expense and revenue functions in terms of price.
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- It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for $4.90 each. (iv) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold.(v) Graph both functions on the same coordinate axes.(vi) From your graph find coordinatae at which cost equals revenue.(vii) Using your graph, determine how many cupcakes need to be made to produce revenue of at least $1,029. How much profit is made for this number of cupcakes?Question1: a. Find the first, second and third derivatives of the following total cost function: TC(Q)=Q3 /5−8Q2 + 5/2 Q+180 b. Find the average cost, AC = TC/Q, and its minimum. c. Find the average variable cost, AVC = TVC/Q, and its minimum. d. Show that the marginal cost, MC, curve passes through the minimum of the AC and the AVC curves.11. Graph the cost curve below and explain. output (Q) P TFC TVC TC 0 8 50 0 50 10 8 50 100 150 20 8 50 120 170 30 8 50 130 180 40 8 50 135 185 50 8 50 150 200 60 8 50 170 220 70 8 50 195 245 80 8 50 220 270 90 8 50 260 310 100 8 50 310 360 110 8 50 400 450 120 8 50 500 550
- Jasmine decides to make and sell jelly cups. It costs jasmine Rs.1000 to set up and Rs.50 per cup made. She decides to sell each cup for 150. By using this information, answer the following questions: A) Write and equation for jasmine's revenue, cost and profit functions? B) Graph each function on a set of axes? C) Find the breakeven point from these graphs? ( D) How many jelly cups will jasmine need to sell in order to make a profit? (E) If jasmine wishes to make a profit of 50, how many jelly cups does she need to sell?It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake issold for $4.90 each.(i) Make a table showing the total cost and the revenue obtained from producing 20,40,60,80 and 100 cupcakes.(ii) Write algebraic expressions representing the cost C and the revenue R as functions of the number of cupcakes X produced and number of cupcakes X sold respectively.(iii) Graph both functions on the same coordinate axes and from your graph determine the cordinate at which cost equals revenue.Revenue and Cost The total revenue function for LED TVs is given by R = 1050x dollars, and the total cost function for the TVs isC = 10,000 + 30x + x2dollars, where x is thenumber of TVs that are produced and sold.a. Which function is quadratic, and which is linear? b. Form the profit function for the TVs from thesetwo functions.c. Is the profit function a linear function, a quadraticfunction, or neither of these?
- Sergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.What is the profit maximization for apex firm if we have the following data quantitiy /unit ={0,1,2,3,4,5,6,7,8,9,10} total variable cost =[0,100,180,220,300,390,500,640,800,1000,1250} 2. If the market price dropped to $80, what is the profit-maximizing level of output? What is Apex’s profit (or loss) in this case?3. If the market price dropped further to $40, what is the profit-maximizing level of output? What is Apex’s profit (or loss) in this case?4. Comment on your answers to parts (2) and (3)Suppose the JJJ Corporation has a cost function of y = 9000x + 180,000 and a revenue of y = 11,000x . What is the BEP of the JJJ Corp.? (USE Excel)
- A firm’s total fixed cost is $360,000. Construct a table of its total and average fixed costs for output levels varying from zero to 6 units. Draw the corresponding TFC and AFC curves. With the following data, calculate the firm’s AVC and MVC and draw the graphs for TVC, AVC, and MVC. Why is MVC the same as MC? Total Quantity Variable Costs 1 $40,000 2 80,000 3 120,000 4 176,000 5 240,000 6 360,000 From the data in Test Yourself Questions 1 and 2, calculate TC and AC for each of the output levels from 1 to 6 units and draw the two graphs.A special shoe manufacturer ABC Co. has costs of production as follows and solve all the subparts: Quantity 0 1 2 3 4 5 6 Total Variable Cost ($) 0 50 70 90 140 200 360 ABC Co.’s fixed costs are $100. Calculate average fixed costs, average variable costs, average total costs and marginal costs at each level of production. Draw the company’s cost curves in a clearly labelled graph. The price of ABC shoe is $50. What are the company’s profits? In case of loss, should the CEO continue operations or decide to shut-down? Which would be a wise decision? Explain. The chief financial officer tells the CEO that it’s better to produce only one shoe this month. What could be the reason for this advice by the CFO? What are the firm’s profits at that level of production? Is this the best decision? Explain.Jeremy worked at a bank with a monthly salary of $1,500. He decided to quit his job and open a bookstore inhis neighborhood. He now pays $500 in rent, $80 in utilities and $120 in wages every month. He also paysthe publisher $5 per book sold. This month Jeremy sold 100 books at the price of $30 per book.a. What was the total revenue this month? Calculate this month’s explicit fixed cost, the variable costand the total cost.b. How much accounting profit did Jeremy make?c. How much economic profit did Jeremy make?d. If Jeremy had not quit his job at the bank, he could have been promoted and got a pay raise of 30percent. How would this affect his accounting profit and his economic profit?