Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given byx²20'C = 90,000+ 40x, R=200x -where the production output in 1 week is x calculators. If production is increasing at a rate of 400 calculators per week when production output is 6,000 calculators. Find therate of increase (decrease) in cost, revenue, and profit.A) Costs are increasing at the rate of $(Simplify your answer.)B) Revenue is(Simplify your answer.)C) Profits are(Simplify your answer.)at the rate of $P=R-Cat the rate of $per week at this production level.per week at this production level.per week at this production level.

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Answered: Suppose that for a company…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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5) According to the Bureau of Labor Statistics, in 2016 the average national annual salary for an RN (Registered Nurse) was $68,450. Over the next several years, due to demand that average is expected to increase by $700 per year. a) Write an equation for S(x), the predicted average salary of an RN x years since 2016. b) In California, due to several factors, the average salary of an RN is about 20% higher than the national average. In 2021, what would the California average be predicted to be for an RN? heirw
Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by x² C = 90,000 + 20x, R=200x - A) Costs are increasing at the rate of $ (Simplify your answer.) where the production output in 1 week is x calculators. If production is increasing at a rate of 400 calculators per week when production output is 5,000 calculators. Find the rate of increase (decrease) in cost, revenue, and profit. B) Revenue is (Simplify your answer. C) Profits are (Simplify your answer.) at the rate of $ 20 at the rate of $ P=R-C per week at this production level. per week at this production level. per week at this production level.
An engineering firm recently estimated its total revenue function as TR = 300q - 6q² and its total costs as TC = 4q².
You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p=40-4q^2 where q is the number of lightwieght compasses produced in millions. It costs the company $15 to make a lightweight compass. 1. Write an equation giving profit as a function of the number of lightweight compasses produced. 2. At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit?
A production process varies only with raw materials, as all other inputs are fixed.The cost of a shipment of 16kg of raw materials is fixed at $85.It takes 10kg of raw materials to create one item of output, Q.The marginal revenue for this production process is expressed by: MR = −Q^2 + 52Q − 576.Determine the optimal amount of raw materials to be used in this production process.
Dr. Cosentino released the information that the enrollment at Lander University grows linearly over time. The initial enrollment was 1257, and this number had grown to 1917 after 3 years.(a) Write down an equation giving the enrollment, y in terms of the number of years since the school opened, x .y = (b) How long will it take for the enrollment to reach 4029 students? Round your answer to two decimal places.
The purchase price of a home y (in $1000) can be approximated based on the annual income of the buyer x1 (in $1000) and on the square footage of the home x2 (in 100 ft2) according to y = ax1 + bx2 + c. The table gives the incomes of three buyers, the square footages of the home purchased, and the corresponding purchase prices of the home. Square Footage (100 ft’) x2 Income Price ($1000) x1 ($1000) y 80 21 180 150 28 250 75 18 160 a. Use the data to write a system of linear equations to solve for a, b, and c. b. Use a graphing utility to find the reduced row-echelon form of the augmented matrix. c. Write the model y = ax1 + bx2 + c. d. Predict the purchase price for a buyer who makes $100,000 per year and wants a 2500 ft2 home.
Find the equation of line (L) that passes through the intersection point of the two functions y = v2 - x2 and y - 2x +3 = 0 and perpendicular to the line %3D 2x – 4y = 6 -
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.

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