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A word problem 2015-05-08
JAMES pose la question :
A businessman bought a number of similar articles for a total of sh. 6000. Three of the articles turned out to be defective with no resale value. He sold the remaining articles at 12.5% each above the cost price making a total profit of sh 480. How many articles had he bought?
Penny Nom lui répond.
Maximizing the ticket revenue 2014-10-07
Allen pose la question :
An airplane whose capacity is 100 passengers is to be chartered for a flight to Europe. The fare is to be $150 per person, if 60 people buy tickets. However, the airline agrees to reduce the fare for every passenger by $1 for each additional ticket sold. How many tickets should be sold to maximize the ticket revenue for this flight?
Chris Fisher lui répond.
Price, revenue and profit 2013-09-22
lorraine pose la question :
What price maximizes revenue? What price maximizes profit?

The only data I'm given is total output, total revenue, and total cost. I'm not sure how to set up a formula

Penny Nom lui répond.
Percentage of Revenue Generated 2010-09-22
Jeri pose la question :
Hi! I am trying to fill out the government form for obtaining a business license and this is all new to me...it wants to know the estimated percentage of revenue that my product generates. An easy formula to figure this out would be greatly appreciated!
Stephen La Rocque lui répond.
Frank makes picture frames 2010-02-20
Carol pose la question :
Frank makes picture frames his revenue from sales is R=$13.60x for frames sold. The cost making frames is C=$5.80x+$120 for frames made. What is the minum number of frames Frank must make and sell in order for his revenue to be greater than his costs.
Penny Nom and Melanie Tyrer lui répond.
Revenue 2009-09-25
Oneda pose la question :
Charter Bus Fares - For groups of 80 or more people, a charter bus company determines the rate per person according to the formula
rate = 8 - 0.05(n-80_, n >= 80
where the rate is given in dollars and n is the number of people question a) express the revenue R for the bus company as a function of n.

Penny Nom lui répond.
Selling fish 2009-07-22
Hemantee pose la question :
A fishmonger bought 150kg of fish. he sold 70%of it at the price of Rs90 per kg and the rest at Rs 75 per kg. he made a profit of 42.5 per cent. how much did he pay for the fish.
Penny Nom lui répond.
Maximum profit 2009-05-11
Sally pose la question :
a manufacturer of dresses charges $90 per dress up to 100 units and the average production cost is $60 per dress. to encourage larger orders the company will drop the price per dress by .10 for orders in excess of 100. I need to find the largest order the company should allow with the special discount to realize maximum profit.
Harley Weston lui répond.
A discount on a charter plane 2009-05-06
karen pose la question :
a charter plane company advertises that it will provide a plane for a fare of $60. if your party is twenty or less and all passengers will receive a discount of $2 per person if the party is greater than 20. what number of passengers will maximize revenue for the company
Stephen La Rocque lui répond.
A T-shirt fundraiser 2009-01-11
Andre pose la question :
Lou's class is selling T-shirts for a fundraiser. The supplier charges 750$ for the initial design and the set-up plus 5$ for each imprinted shirt. The students sell the shirts for 15$ each.
a)How many T-shirts do the students need to sell to break even?
b)How much profit will the students make if they sell 150 shirts?

Harley Weston lui répond.
Maximize revenue 2008-10-08
Donna pose la question :
A university is trying to determine what price to charge for football tickets. At a price of 6.oo/ticket it averages 70000 people per game. For every 1.oo increase in price, it loses 10000 people from the average attendance. Each person on average spends 1.5o on concessions. What ticket price should be charged in order to maximize revenue. price = 6+x, x is the number of increases.
ticket sales = 70000- 10000x
concession revenue 1.5(70000 - 10000x)
I just do not know what to do with the concession part of this equation (6+x) x (70000 - 10000x) I can understand but not the concession part please help. thx.

Penny Nom lui répond.
30% profit 2008-06-19
Julie pose la question :
how do i calculate the price per person that will return a 30% profit on the sales revenue generated?
Penny Nom lui répond.
A 10% markup then a 10% discount 2007-11-13
svetik pose la question :
The best selling dessert at Chez Russell earns revenue of $5000 per week. During Restaurant Week, they are required to give a 10% discount on this dessert. Because the owner is a crook, he decides to mark up the price the week before Restaurant Week and then give the 10% discount off the marked up price. During the marked up week, they still sold the same amount of pieces as any prior week. However, they expect to sell 100 more pieces during restaurant week. If the revenue from this dessert is the same for the marked up week and restaurant week, what is the normal price of the dessert, rounded to the nearest cent?
Penny Nom lui répond.
Maximizing profits II 2007-10-05
a student pose la question :
Suppose there are three firms with the same demand function. The function is Q=1000-40P. Each firm also a a cost function.
Firm 1: 4000+5Q, Firm 2: 3000+5Q, Firm 3: 3000+7Q.
What price should each firm charge if it wants to maximize profits.

Harley Weston lui répond.
Breaking even 2007-08-16
virginia pose la question :
a company that manufactures bikes has a fixed cost of $100,000.00 it costs $100 to produce each bike. the selling price per bike is $300.00

write the cost function, c
write the revenue function, r
determine the break even point

Leeanne Boehm and Steve La Rocque lui répond.
Selling price and revenue 2007-06-24
nick pose la question :
hello, this is my first time asking for help from this website in which by the way, i think is great for everyone. My question is as follows... the relationship between the selling price of a sleeping bag, s dollars, and the revenue at that selling price, r(s) dollars is represented by the function: r(s)= -10s^2+1500s
evaluate, interpret, and compare: a) r(29.95)

Stephen La Rocque and Penny Nom lui répond.
Find the maximum revenue 2007-04-05
Megan pose la question :
The weekly revenue for a company is R= -3p+60p+1060, were p is the price of the company's product. Find the maximum revenue for this company.
Stephen La Rocque lui répond.
Maximize revenue 2007-03-08
San pose la question :
A movie theatre sells tickets for $8.50 each. The manager is considering raising the prices but knows that for every 50 cents the price is raised, 20 fewer people go to the movies. The equation R= -40c^2+84c describes the relationship between the cost of the tickets, c dollars, and the amount of revenue, R dollars, that the theatre makes. What price should the theatre charge to maximize revenue? This question comes from my gr.11 corresponding study homework and I not yet solve it. Please help! Thank you, I will appreciate your help.
Stephen La Rocque lui répond.
Maximizing revenue 2005-05-13
Jackie pose la question :
1.The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $400 per month. A market survey suggests that, on the average, one additional unit will remain vacant for each $5 increase in rent. What rent should the manager charge to maximize revenue?

2.During the summer months Terry makes and sells necklaces on the beach. Last summer he sold the necklaces for $10 each and his sales averaged 20 per day. When he increased the price by $1, he found that he lost two sales per day.

a. Find the demand function, assuming it is linear.
b. If the material for each necklace costs Terry $6, what should the selling price be to maximize his profit?


Penny Nom lui répond.
Room and board fees 2003-11-29
Jennifer pose la question :
A certain university wishes to determine room and board fees for the next academic year. For the current year, the fee is $3600 per student and 1800 students are living in the residence halls. Past data suggests that for every $300 increase in the semester fee, 200 fewer students will choose to live in the dorms. There are also costs to the university associated with the residence halls. The fixed costs total $2,000,000 per semester. the variable costs are currently $1000 per student but will fall $100 per student for each decrease of 100 students. Your task is to help the university determine the optimal fee. Assume linear relationships between the number of students and the fee and between the number of students and the cost per student
Penny Nom lui répond.
Maximize profit 2001-05-09
Brian pose la question :
The marginal cost for a certain product is given by MC = 6x+60 and the fixed costs are $100. The marginal revenue is given by MR = 180-2x. Find the level of production that will maximize profit and find the profit or loss at that level.
Harley Weston lui répond.
Oil revenue 2001-04-21
Brian pose la question :
Suppose that t months from now an oil well will be producing crude oil at the rate of r(t), not a constant, barrels per month and that the price of crude oil will be p(t), not a constant, dollars per barrel. Assume that the oil is sold as soon as it is extracted from the ground.
  1. Find an expression for the total revenue from the oil well, R(t).

  2. A certain oil well that currently yields 400 barrels of crude oil a month will run dry in 2 years. The price of crude oil is currently $18 per barrel and is expected to rise at a constant rate of 3 cents per barrel per month. What will be the total revenue from this well? {Hint: Model the degraded production rate with the equation:
    r(t) = (A-Bt)e0.04t}

Harley Weston lui répond.
Delivering firwood 2001-02-20
Jackie pose la question :
Two college students earn extra money on weekends by delivering firwood in thier pickup truck. They have found that they can sell x cords per weekend at a price of p dollars per cord, where x=75-3/5 p. The students buy the firewood from a supplier who charges them C dollars for x cords to the equation C=500+15 x+1/5 x2.

a) find a function f such that P=f(p), where P dollars is the profit per weekend for the students if they charge p dollars per cord.

b)find the profit P dollars if p=$95

Penny Nom lui répond.
The city transit system 2001-01-07
Jacky pose la question :
The city transit system carries an average of 9450 bus riders a day, for a fare of $1.75 each. The city wants to reduce car pollution by increasing ridership and to maximize the transit system's revenue at the same time. A survey indicates that the number of riders will increase by 150 for every $0.05 decrease in fare.
Harley Weston lui répond.
 
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