In supply and demand problems, y is the number of items the supplier will produce (or the public will buy)if the price of the item is x.For a particular product,the supply equation is y = 3x + 581and the demand equation is y = -5x + 765.a. What is the selling price when supply and demand are in equilibrium?Price is $/itemb. How many number of items are there when supply and demand are in equilibrium?Number of items =

Given that the supply equation is --------- (1)…

Answered: In supply and demand problems, y is the…

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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During a volleyball game, the snack bar has put up a combo of wings, fries and soda for sale at a price of $ 6.75. The owner records that he has a production cost in the premises of yc = $ 2.95x + $ 627. 1. Find the balance point. 2. If it is known that at least 200 combos will be sold, what should the price be set to ensure there are no losses?
You invested $8000 between two accounts paying 5% and 6% annual interest, respectively. If the total interest earned for the year was $450, how much was invested at each rate? was invested at 5% and $ was invested at 6%. tureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# O Search ENG Next 2:39 AM 4/7/2023
17. THE DINNER BANQUET Reese and Markus are planning a special party for their family and friends. A local restaurant offers dinner banquets at $360 for the first 15 guests and $27.50 per person for additional guests. There is a minimum of 15 guests required to reserve the banquet room. a. Assume that at least 15 guests will attend. Write an equation for the cost of the banquet in terms of the number of guests. b. If Reese and Markus want to keep costs below $750, how many guests should they invite?
21. DESIGNER WINDSOCKS Windless Surfing Company's marketing manager observes that if the price of designer windsocks is $45, then on average 75 windsocks are sold per month. Experience has shown that if the price is raised from $45, then for every $2 increase in price, 3 fewer windsocks will be sold each month. a. Write an equation for the number of windsocks sold per month in terms of the price. b. What price will result in zero windsocks per month being sold? c. If the manager wants to sell at least 50 windsocks each month, what is the range of possible prices for the windsocks?
4. A retailer imports a crate of sunglasses for $3800. There are x amount of pairs of glasses in the box. 8 pairs of glasses are defective and can't be sold. The retailer sells the remaining sunglasses for $4800, realizing a profit of $6 per pair. Write the equation that represents this scenario.
What conclusion can you draw from a sales report that states that "sales this month were $14,000 more than four times the sales last month, which means that total sales for both months are $6,000 more than five times the sales last month"? Part 1. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Let x represent the sales from this month and y represent the sales from last month, both in dollars. A. The solution is: x= ___ , y=____ (Simplify your answer. Type an integer or a decimal.) B.There are infinitely many solutions. C. There is no solution. Part 2 What conclusion can now be drawn about the sales report? Consider the answer above. A. The sales for this month and last month are represented accurately by x and y in the answer above. B. The sales report is inaccurate or was made up by someone. C. There were no sales in either month. D. There are an infinite amount of possibilities for the…
1. y = x + 2x - 8
Machine A has a fixed daily cost of $60 and a variable cost of $1.00 per item produced. Machine B has a fixed daily cost of $10 and a variable cost of $1.50 per item produced. (a) What is the number of items x for which the total daily cost C (in dollars) of each machine will be the same? items(b) What is the total daily cost per machine for this number of items?
13 An electronics store offers to finance the purchase of any single item with zero interest for one year, with a down payment of $60. The rest of the purchase price will be split evenly into four quarterly payments. Which of the following equations represents the relationship between the amount, a dollars, of each quarterly payment and the purchase price, s dollars, of an item under this offer? LEGO S – 60 A. a = 4 s+ 60 В. а % 4 C. a = -60 4 D. a = 4s - 60 E. a = 4s + 60
An athlete is planning a diet change for training. Each time he eats meal A he gets 20 grams of protein and 30 grams of carbohydrates. Each meal B provides 20 grams of protein and 50 grams of carbohydrates. Each meal A costs $5 each and each meal B costs $7.5. The athlete needs at least 80 grams of protein and 160 grams of carbohydrates. (A) let x be the number of meal A and y be the number of meal B. write inequalities for this linear programming problem. (B) identify the feasible set (C) Minimize the objective function 5x+7.5y (the total cost)
Why do you think this variable (number of pets the realtor has) will have almost no relationship with the number of houses a realtor will sell in the current year?
2. Simon knows that at $30 per ticket, 500 tickets to a show will be sold. He also knows that for every $1 increase in price, 10 fewer tickets will be sold (see equation). Revenue = (price per ticket)(number of tickets sold) R(x)= (30+ x) (500 - 10x) R, represents Revenue from ticket sales, x represents number of $1 price increases (Hint: complete the square) Use the equation of the function above modelling revenue from ticket sales to determine the following: a) Ticket price that will maximize revenue b) The maximum revenue

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