T-shirt Profit - The latest demand equation for your Yoda vs. Alien T-shirt is given by q=-40x+600 where q is the number of shirts you can sell in one week if you charge $x per shirt. The student council charges you $400 per week for use of their facilities, and the T-shirts cost you $5 each. Find the weekly cost as a function of the unit price x. Hence, find the weekly profit as a function of x, and determine the unit price you should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −2p…

A: Given that the demand function is: q = −2p + 200So the revenue function is:R(q)=pq=p(−2p + 200)=−2p2…

Q: You work for a company producing cell phones.  The cost C for producing x cell phones is C ( x ) =…

A: Given: The cost function is Cx=240x+50,000 The revenue function is .   The fixed cost is the value…

Q: You are choosing between two plans at a discount warehouse. Plan A offers an annual membership fee…

A: a) For plan A :    Total pay= 300+0.7 x   where x is listed priceb) For plan B :    Total pay=…

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A: y axis  represents the monthly cost and the x axis represents the number of minutes. For 47 minutes…

Q: lollars) and the demand x for a particular clock radio are related by the equation x = 5000 – 50p.…

A: Please refer to the image below

Q: Electronic equipment manufacturer Dynamo Electric, Inc. makes several types of surge protectors.…

A:

Q: For the Demand Function, y = D(x) = -(x – 10)² + 50. a) To reach the maximum unit price, how many…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex…

Q: The total cost, y, for Leah and x friends to go to an amusement park can be modeled by a linear…

A:

Q: Find the consumer and producer surpluses by using the demand and supply functions, where p is the…

A:

Q: Discount Stereo's most popular model has been found to have a monthly demand of 185 when the price…

A:

Q: Aldo is driving to Dallas. Suppose that the distance to his destination (in miles) is a linear…

A: Given problem:- Aldo is driving to Dallas. Suppose that the distance to his destination (in miles)…

Q: A manufacturer has a monthly fixed cost of $13,200 and a production cost of $14 for each unit…

A: Since you have posted multiple sub parts, as per our policy we will answer first three sub parts.…

Q: the demand function for a tablet is given b y the model p=200-16x where p is measured in dollars per…

A: Given demand function model: p=200-16x Cost in producing each tablet = $50 Profit = $125 million…

Q: Frank is driving to San Francisco. Suppose that the distance to his destination (in miles) is a…

A:

Q: You are choosing between two texting plans. Plan A has a monthly fee of $15 with a charge of $0.05…

A: Given: Monthly fee of plan A is $15 with a charge of $0.05 per text. Monthly fee of plan B is $5…

Q: A company produces a product for which the variable cost is $12.17 per unit and the fixed costs are…

A: We need to find cost, revenue, profit functions.

Q: portable TV’s has fixed costs of $325 and variable costs of $55 per TV. Let x be the total number of…

A: We  will solve first find the revenue function,  profit function and then find number of sales for…

Q: Extreme Protection, Inc. manufactures helmets for skiing and snowboarding. The fixed costs for one…

A: NOTE-AS WE ARE ALLOWED TO ANSWER  THREE SUBPARTS FOR YOU, SO, I HAVE ANSWERED FIRST THREE SUBPARTS,…

Q: Suppose that Internet domain names are sold at a price of $P per month for $2 ≤ P ≤ $100. The number…

A: Consider that the number of customers are linear functions of price that is, C=aP+b. Given when…

Q: The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total…

A: Given query is to find the monthly of cost 96 min of calling.

Q: A manufacture has been selling 1400 television sets a week at $480 each. A market survey indicates…

A:

Q: Heller Manufacturing has two production facilities that manufacture baseball gloves. Production…

A:

Q: 2. A company that manufactures small canoes has a fixed cost of $18,000. It cost $20 to produce each…

A: 20 canoes are produced, Fixed cost = $18000

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

A:

Q: Shen is driving to Phoenix. Suppose that the distance to his destination (in miles) is a linear…

A: This question is related to linear equations, we will solve it using given information.

Q: The length of a rectangular floor is two metres more than twice its width. If a diagonal of the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The inventor of a new game believes that the variable cost for producing the game is $0.65 per unit…

A:

Q: Factory orders for an air conditioner are about 6,000 units per week when the price is $333 and…

A:

Q: A shipping crate has a square base with sides of length x feet, and it is half as tall as it is…

A: Square base, with sides of length x feet, and it is half as tall as its wide.

Q: A company produces yellow hyperdrives for which the variable cost is $7 per yellow hyperdrive. and…

A:

Q: A price p (in dollars) and demand x for a product are related by 2x2 + 8xp + 50p² = 6000. If the…

A: Let's find.

Q: Electronic equipment manufacturer Dynamo Electric, Inc. makes several types of surge protectors.…

A: (a) Given: Fixed costs of base model surge protector = $1445. Wholesale cost of each particular…

Q: The demand equation for your company's virtual reality video headsets is 1,500 p = 90.3 where q is…

A:

Q: During the summer months Terry makes and sells necklaces on the beach. Last summer she sold the…

A:

Q: The well-known romance novelist Celestine A. Lafleur (a.k.a. Bertha Snodgrass) has decided to sell…

A: Given: The well-known romance novelist Celestine A. Lafleur (a.k.a. Bertha Snodgrass) has decided to…

Q: Revenue The sum of the 2016 revenue and twicethe 2013 revenue for Mama Joan’s International,Inc., is…

A: Given: The sum of the 2016 revenue and twice the 2013 revenue is $2144.9 million. The difference…

Q: A baseball team plays in a stadium that holds 54,000 spectators. With ticket prices at $10, the…

A: First of all, let's describe attendance x in terms of the ticket price P.  Find the linear function…

Q: Brian is driving to Chicago. Suppose that the distance to his destination (in miles) is a linear…

A: It is clear from the question that the given scenario varies linearly. From the question, we need to…

Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: You sell candy at an event to make money.  When candy are sold for $1.10 per bag, approximately 625…

A:

Q: Kuya Bill is selling 'Bill phones'. If the cost for selling r phones is given by 10000 C(r) = 120x +…

A: Given, Cost function, C(x) = 120x + 10000/x - 2000 Price Dand function, p(x) = 1000 - 2000/x2 + 200x

Q: Ivan is driving to New York City. Suppose that the distance to his destination (in miles) is a…

A:

Q: You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover…

A:

Q: You are choosing between two texting plans. Plan A has a monthly fee of $20 with a charge of $0.05…

A: Given that plan A has monthly fee of $20 with a charge of $0.05/msg  and plan B has a monthly fee of…

Q: Kuya Bill is selling 'Bill phones'. If the cost for selling a phones is given by 10000 C(x) = 120x +…

A:

Q: To manufacture x thousand computer chips requires fixed expenditures of $352 plus $42 per thousand…

A:

Q: A price p (in dollars) and demand x for a product are related by 2x – 4xp + 50p² = 6600. If the…

A:

Q: manufacturer of electronic parts has a fixed cost of $410 and a variable cost of $17 per part…

A:

Q: A baseball team plays in a stadium that holds 54,000 spectators. With ticket prices at $10, the…

A:

Q: A cell phone company offers the following plan: A monthly charge of $30 and 5¢ per text sent or…

A: Given:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.