A Midwestern factory has been studying there costs and estimates
the total costs for an upcoming production run can be modeled by
C(x)=36000+90x+x3C(x)=36000+90x+x3 dollars. The total revenue from
the sale of x units is R(x)=2610xR(x)=2610x dollars. Find the
profit function and determine the level of production xx that will
maximum the profit of the factory.
a)The profit function is
P(x)=P(x)= syntax error
b) The production level per week that results in the maximum profit
is
c)The maximum profit is $
A Midwestern factory has been studying there costs and estimates the total costs for an upcoming...
A pretzel factory has daily fixed costs of $2300. In addition, it costs 10 cents to produce each bag of pretzels. A bag of pretzels sells for $1.70. Complete steps(a)- below Quizzes (a) Find the rule for the cost function (x) that gives the total daily cost of producing x bags of pretzels C(x) = 10x + 2300 (Simplify your answer) (b) Find the rule of the revenue function (x) that gives the daily revenue from selling x bags of...
3. A certain company has fixed costs of $15,000 for its product and variable costs is given by 140 +0.04x dollars per unit where x is the total number of units. The selling price p of the product is given by 300 -0.06x dollars per unit. (6 pts) a) Set up the functions for total cost and total revenue. b) Find the minimum break even quantity. c) Set up the profit function and compute the number of units that will...
Suppose a company has fixed costs of $54,400 and variable cost per unit of 1/3x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2065 - 2/3x dollars per unit. (a) Find the break-even points. (b) Find the maximum revenue. (c) Form the profit function P(x) from the cost and revenue functions. Find maximum profit. (d) What price will maximize the profit
Suppose a company has fixed costs of $51,200 and variable cost per unit of 1 3 x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1965 − 2 3 x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ (c) Form the profit function...
Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. Consider the graph of the function y = f(x) given in the figure. (a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) OOOO (b) Over what interval(s) (a) through (d) is...
Financial Mathematics
Please answer question 4 and question 5
o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Find the marginal cost when the production level is 100 units. (b) Use the marginal cost to approximate the cost of producing the 101 st unit. (c) Find the exact cost of producing the 101 st unit. (d) Assuming that the commodity is...
A manufacturer of widgets has fixed costs of $1200 per month, and the variable cost is $49 per widget (so it costs $49 to produce 1 widget). Let N be the number of widgets produced in a month. (a) Find a formula for the manufacturer's total cost C as a function of N. C(N) - 49N+1200 (b) The highest price p, in dollars, of a widget at which N widgets can be sold is given by the formula p =...
Laura has been hired to help a struggling winery return to profitability. The winery produces wine using grapes (g) and labor (l). Wine sells at market price, p, grapes are bought at cost r per pound of grapes and workers are paid a wage w per hour. The firm faces fixed costs, F. 1. The winery produces 400 bottles of wine per week and sells them at the market price of p= $30 per bottle. The winery's variable costs for...
8. -1 0. An advertising agency has developed Internet and television ads for a particular usiness. Each Internet ad costs $200 per run and each television ad costs $500 per run. The business does not want the su m of Internet and television ads to be run to exceed 51 times. The agency estimates that each viewing of the Internet ad will reach 1000 people and each airing of the television ad will reach 1500 people. If the total amount...
1) X Company incurred the following costs in 2017: Factory insurance $5,629 Customer service 4,766 Advertising costs 4,594 Factory maintenance 5,023 Direct labor 5,972 Direct materials 4,514 Sales salaries 5,023 Factory utilities 5,153 Research & Development 5,599 Material handling 4,174 What was total overhead in 2017? 2) X Company had the following inventory account balances in 2017: Account January 1 December 31 Materials $14,524 $16,900 Work in Process 14,622 21,768 Finished Goods 14,594 14,594 The following additional information for the...