A skateboard manufacturer produces skateboards at a cost of $45 each, monthly fixed cost of $9000. Let x be the number of boards manufactured in a month. Write a function C(x) that represents the total cost of producing x boards. A Write a function A(x) that represents the average cost per skateboard each month. A/ Find the equation of the horizontal asymptote of A(x). A/ .4
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- To produce the next popular toy, a company has to pay a factory $250, 000 to set up the production line. They also have to pay $25 per item for the raw materials and labor. Write function for the average cost to produce x items. Then describe what happens to the average cost as the factory produces a large number of toys.A printer quotes a price of $7, 500 for printing 1,000 copies of a book and $15, 000 for printing 2,500 copies.Assuming a linear relationship and that 2000 books are printed:i. Find the equation relating the total cost y to x, the number of books printed.ii. What is the variable cost ?iii. What is the fixed cost ?iv. What is the variable cost per book ?v. What is the average cost per book ?vi. What is the marginal cost of the last book printed ?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.(i) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes.(ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes.(iii) Write an algebraic expression representing the cost C as a function of the number of cupcakes x that are produced.(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
- 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. (i) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes. (ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes. (iii) Write an algebraic expression representing the cost C as a function of the number of cupcakes x that are produced. (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? I would like for you guys to solve the last 3 parts of the question if possible. Thank you.It costs a baker a fixed cost of $420 and a variable cost of $2.10 per cupcake. A cupcake is sold for $4.90 each. (i) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes. (ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes. (iii) Write an algebraic expression representing the cost C as a function of the number of cupcakes x that are produced. (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 coordinates 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?please analyze the behavior of cost function and interpret the constant term in the expression of C(q)
- Assume the cost of making 30 belts $800 the cost of makin 35 belts $900 and the cost equation is linear. The belts are sold for$ 27 each. a)find the marginal cost b)find a linear equation in slope-intercept, form that represent the total Cost of making will c) What is the fixed cost? d) find a profit in slope- intercept that will represent the profit if x belt are made and sold? e) Find the break even point?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 cost of producing 20,40,60,80 and 100 cupcakes.(ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes.(iii) Write an algebraic expression representing the cost C as a function of the number ofcupcakes x that are produced.(iv) Write an algebraic expression representing the revenue R as a function of the number ofcupcakes x sold.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.
- Total Cost Analysis The manager of a rival T-shirt stand found that her cost to produce 10 T-shirts is $105.98. while the cost to produce 40 T-shirts is $398.42. Assume the cost Cod is a linear function of x, the number of T-shirts produced. Find the total cost of producing 100 T-shirts (Round to 2 decimal places)(a) Find the marginal cost function C'(x). C'(x) Use it to estimate how fast the cost is increasing when x = 60,000. | per game system Compare this with the exact cost of producing the 60,001st game system. The cost is increasing at the rate of $ | game system is $| the estimated cost of producing the 60,001st game system found using the marginal cost function. | per game system. The exact cost of producing the 60,001st J. The actual cost of producing the 60,001st game system is --Select-- (b) Find the average cost function C(x) and the average cost to produce the first 60,000 game systems. (Round your answer to the nearest cent.) C(x) C(60,000) - $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 60,000 game systems.Suppose that the dollar cost of producing x appliances is c(x) = 1000 + 70x-0.1x². a. Find the average cost per appliance of producing the first 100 appliances. b. Find the marginal cost when 100 appliances are produced. c. Show that the marginal cost when 100 appliances are produced is approximately the cost of producing one more appliance after the first 100 have been made, by calculating the latter cost directly. CUCKO The average cost per appliance of producing the first 100 appliances is $ (Round to the nearest cent as needed.) /appliance.