When the admission price for a baseball game was $6 per ticket, 48,000 tickets were sold. When the price was raised to $7, only 42,000 tickets were sold. Assume that the demand function is linear and that the variable and fixed costs for the ball park owners are $0.10 and $75,000 respectively.   (a)Find the profit P as a function of x, the number of tickets sold. (b) Find the marginal profits when 24,000 tickets were sold and when 48,000 tickets were sold. P'(24,000)=  per ticket P'(48,000)=  per ticket

Q: During the 1950s the wholesale price for chicken for a country fell from 25c per pound to 14c per…

A:

Q: When the admission price for a baseball game was $18 per ticket, 36,000 tickets were sold. When the…

A:

Q: If consumption is $5 billion when disposable income is $0, and if the marginal propensity to consume…

A: Given: consumption = $5 billion disposable income = $0 marginal propensity to consume = 0.60…

Q: The demand curve of a firm is p=1200 – 2lq and its total cost is C(q) = 2q° – 66q² + 600q +1000…

A: In this question, concept of maxima and minima of profit function is applied. Maxima and minima The…

Q: Given Cost and Revenue functions C(q) =q³-9q² +53q + 5000 and R(q) = -3q² + 2500q, what is the…

A:

Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(g) = - 39 + 2500q, what is the…

A: Given query is to find the marginal profit at production level of 50.

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A:

Q: Suppose that a company that makes sweatshirts has a linear demand function of qD = –13p + 500 and a…

A:

Q: A manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates…

A:

Q: Assume that the situation can be expressed as a linear cost function.  Marginal cost is $25; 190…

A: GIVEN: Marginal cost = $25

Q: price of a product is $42, and 56 units when the price is $23

A:

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A:

Q: A small appliance manufacturer finds that his production costs is $1500 per month plus $6 for each…

A: A small appliance manufacturer finds that his production costs is $1500 per month plus $6 for each…

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: Market research for a certain ice cream company indicates that if the price per cup of ice cream is…

A: According to our guidelines we have to answer first three subparts if multiple subparts are posted…

Q: In some manufacture company, which sales certain product, the price function p and the cost function…

A:

Q: What is the formula for cost C as a linear function t, the number of cups of coffee

A:

Q: Given Cost and Revenue functions C(q) = q° - 8q + 51q+ 5000 and R(q) = - 3q +2400q, what is the…

A: Given query is to find the marginal profit on production level of 60 items.

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −4p…

A: topic - functions and derivatives

Q: When the admission price for a baseball game was $78 per ticket, 36,000 tickets were sold. When the…

A:

Q: If the demand for a thingy is 12,000 per month when the price is $12 and 15,000 when the price is…

A: Find the slope of function.

Q: Use the demand function x- 275 (1- 3p/5p+1)  to find the rate of change in a demand x for price p=$4

A: Consider the demand function x

Q: Suppose a 4-minute overseas call costs $4.2 and a 17-minutes call costs $18.63. (a) Assume the rates…

A:

Q: A manufacture has been selling 1900 television sets a week at $450 each. A market survey indicates…

A:

Q: If consumption is $6 billion when disposable income is $0, and if the marginal propensity to consume…

A:

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Given Cost and Revenue functions C(q) = q° - 10q + 54q + 5000 and R(q) = - 3q“ +2600q, what is the…

A: If the profit is p and the number of items produced is q then the marginal profit is given by dpdq.…

Q: the revenue function for a particular commodity is  R(p) = −50p2 + 68p,  what is the (linear)…

A: We have to find

Q: Until recently, hamburgers at the city sports arena cost $1.60 each. The food concessionaire sold an…

A:

Q: A baseball team plays in a stadium that holds 55,000 spectators.With ticket prices at  $10, the…

A:

Q: Given Cost and Price​ (demand) functions C(q)=100q+40000 and p(q)=−2.7q+900​, what is the marginal…

A:

Q: When a wholesaler sold a product at $30 per unit, sales were 280 units per week. After a price…

A: The solution is given below:

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A: Let x be the number of laundry sinks produced. Given :  fixed cost=$2000/day                total…

Q: Assume it costs Microsoft $4,700 to manufacture 5 Xbox 360s and $7,650 to manufacture 10. Obtain the…

A: according to question, we have to assume it  costs Microsoft $4,700 to manufacture 5 Xbox 360s and…

Q: When the admission price for a baseball game was $66 per ticket, 36,000 tickets were sold. When the…

A:

Q: When the admission price for a baseball game was $42 per ticket, 36,000 tickets were sold. When the…

A:

Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

A:

Q: A company that conducts bus tours found that when the price was $9.00 per person, the average number…

A: Here, $2 decrease in the price results in 500 increase in the number of customers.

Q: The cost of producing a vials of COVID-19 vaccine is given by 125, 000 C(x) = 20, 000 + 10 A…

A: Let C(x) be the cost function and p(x) be the price function for x units. Then the revenue function…

Q: Suppose that a cell phone plan that is offered at a price of P dollars per month attracts C…

A: From C(1OO) = 1,000,000 and C(500) = 100,000. we get two coordinates (100,1000000) and (500, 100000)…

Q: When Green Eggs and Ham are sold for $4.00 per apple at Whoville, approximately 2500 servings are…

A: Suppose P(x) =m·x+c be the linear demand function. Also, P(x) represents price per unit when x…

Q: Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an…

A: Given :           Cost function :                  To obtain cost function, add fixed cost and…

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A:

Q: A small company has the marketing information that 35 units W 34.75 per unit, and that sales will…

A: Given,  a small company has the marketing information that 35 units will sell daily at  price of…

Q: If the revenue function for selling q Widgets is R(q) = q · (1322 – 2q) dollars, find the marginal…

A: Given : R(q)=q(1322-2q)R(q)=1322q-2q2 To find out marginal revenue function , we need to take…

Q: given a demand equation p=(900+31x-x2)/2000 and a cost equation C=600+3x, find the marginal profit…

A: We have given

Q: When the price, p, charged for a boat tour was $30, the average number of passengers per week, N,…

A: Given query is to find the function for demand.

Q: If, in a monopoly market, the demand function for a product is  p = 130 − 0.10x  and the revenue…

A:

Q: The market for a particular consumer good has a demand function given by: q = 24 - p and supply…

A: We have to calculate surplus

Q: A company is planning to manufacture snowboards The fixed costs are $400 per day and total costs are…

A: Given: