A company makes and sells smoke alarms. The company has fixed costs (the cost to make 0 smoke alarms) of $150. The cost, c, to make each smoke alarm is $6. The linear equation for the cost to make x smoke alarms is c = To get the average cost, you divide the cost function (your previous answer) by the number of smoke alarms sold, x. Therefore the average cost, A(x), to make x smoke alarms is A(x) Use the function to answer the following questions. Determine A(19), and complete the sentence explaining the meaning of your answer. Round your answer to the nearest cent. The average cost to produce 19 smoke alarms is $

A company makes and sells smoke alarms. The company has fixed costs (the cost to make 0 smoke alarms) of $150. The cost, c, to make each smoke alarm is $6. The linear equation for the cost to make x smoke alarms is c = To get the average cost, you divide the cost function (your previous answer) by the number of smoke alarms sold, x. Therefore the average cost, A(x), to make x smoke alarms is A(x) Use the function to answer the following questions. Determine A(19), and complete the sentence explaining the meaning of your answer. Round your answer to the nearest cent. The average cost to produce 19 smoke alarms is $

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.2: Complex Solutions Of Equations

Problem 79E: Profit The demand equation for a microwave oven is given by p=1400.0001x, where p is the unit price...

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Demand equations The number of photo scanners that consumers buy depends on price. The higher the price, the fewer photo scanners people will buy. The equation that relates price to the number of photo scanners sold at that price is called a demand equation. If the demand for a photo scanner is P=110q+170, where p is the price and q is the number of photo scanners sold at that price, how many photo scanners will be sold at a price of 150?
A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is C=1480+6x, and the total revenue R (in dollars) is R=15x. Find the profit obtained by selling 225 T-shirts per day.
The cost function for a certain company is C=60x+300 and the revenue is given by R=100x0.5x2. Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $300.
Profit The demand equation for a microwave oven is given by p=1400.0001x, where p is the unit price (in dollars) of the microwave oven and x is the number of units sold. The cost equation for the microwave oven is C=80x+150,000, where C is the total cost (in dollars) and x is the number of units produced. The total profit P obtained by producing and selling x units is modeled by P=xpC. (a) Find the profit function P in terms of x. (b) Find the profit when 250,000 units are sold. (c) Find the unit price when 250,000 units are sold. (d) Find (if possible) the unit price that will yield a profit of 10 million dollars. If not possible, explain why.
Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?
Food Consumption The average daily food consumption F of a herbivorous mammal with body weight x, where both F and x are measured in pounds, is given approximately by the equation F=0.3x34. Find the weight x of an elephant that consumes 300 lb of food per day
Flat-screen television sets A wholesaler of appliance finds that she can sell (1200x) flat-screen television sets each week when the price is x dollars. What price will maximize revenue?
The Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year. a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number of years since 2010. b. In 2015, what will the helium reserves be? c. If the rate of depletion doesn’t change, in what year will the Federal Helium Reserve be depleted?
If we rent a truck and pay a $75/day fee plus $.20 for every mile we travel, write a linear equation that would express the total cost y, using x to represent the number of miles we travel. Graph this function on your graphing calculator and find the total cost for one day if we travel 70 mi.
Explain how to find the input variable in a word problem that uses a linear function.
Suppose that the price per unit in dollars ofa cell phone production is modeled by p=450.0125x, where x is in thousands ofphones produced, and the revenue represented by thousands of dollars is R=xp. Find theproduction level that will maximize revenue.
6. Heidi owns a business that sells photographs. The profit function for her business can be modelled by the equation p(x)=-0.5x2-5x-7, where x is the quantity sold, in thousands, and P(x) is the profit in thousands of dollars. How many photos must Heidi sell in order for her business to break even?