determine and correctly interpret the maximum or minimum of the functions that model the following situations using valid mathematical procedures and the correct mathematical notation. Express your answer in terms of the context of the problem. The profits of a micro business selling Christmas cakes are related to the price of their product. The relationship is R(p)=-0.4p^2+64p-1000, where R is the revenue in thousands of dollars and p is the price of the product in dollars. What price would maximize revenue?

Q: The cost of hiring a handyman to help with home jobs costs $50 plus $35 per hour for each hour the…

A: The cost function C(t) =50+35twhere t is number of hours worked by the handman

Q: A company decides to begin making and selling computers. The price function is given as follows:…

A:

Q: Suppose a company has fixed costs of $37,400 and variable cost per unit of 1 3 x + 222 dollars,…

A:

Q: You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight…

A: Given: The demand function for the light weight compasses is given by p=40-4q2 ( where q is the…

Q: A once thriving company in Teaneck had its monthly profits, in thousands of dollars, modeled by the…

A: we need to find out the profit many years into the future.

Q: The total revenue function for a product is given by R = 540x dollars, and the total cost function…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Abram-Takera owns Scylar LLC. The firm produces and sells GramFam brand The firm’s weekly  profit in…

A: The weekly profit of the firm in thousands of dollars for sweatpants is given by the function

Q: The total revenue function for a product is given by R = 330x dollars, and the total cost function…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: business owner is monitoring the production cost of making laptop computers. It costs $7,000 to…

A: Using given information we can identify the nature of the model.

Q: 4. The profit function of Firm GG is n=-2q2+280q. What is the profit maximizing quantity?What is the…

A:

Q: I like to take in account how much I’m going to set aside for savings that month as well as…

A: If a person saves $400 per month and spends $1000 on bills per month then let 'x' be the number of…

Q: The market research department of an electronics company has determined that the demand and cost…

A: Cost function is given by: C(x)=2250+5x Now, put x=300-5p C(x)=2250+5(300-5p)       =2250+1500-25p…

Q: Function rule

A: Since you have posted a multiple subpart problem, we solve the first A,B,C for you. To get the…

Q: For a manufacturer's product, the demand function is p = 240 + 57q - q² At what level of output…

A: Let the demand function is p=240+57q-q2   To determine: The value of q at which the revenue function…

Q: If the selling price of a box of model is Php x, (500 – 20x) boxes of model will be sold. It is…

A: