A company produces a product which it sells for $55 per unit. Each unit costs the firm $23 in variable expenses, and fixed costs on an annual basis are $400,000. If x equals the number of units produced and sold during the year: (a) Formulate the linear total cost function. (b) Formulate the linear total revenue function. (c) Formulate the linear profit function. (d) What does annual profit equal if 10,000 units are produced and sold during the year? (e) What level of output is required in order to earn zero profit?

Q: (c) TLF Ltd wishes to sell 28,000 units of its product, which has a variable cost of £30 to make and…

A: Add the fixed costs and target profit to get the should be contribution margin.Should be…

Q: of a large apartment complex knows from experience that 100 units will be occupied if the rent is…

A: If x is the number of units and px is the price per unit, Then the revenue function is defined by…

Q: Suppose that the demand function for a product is given by the formulap = 2000 – 5q dollars, where q…

A: Here demand function is given need to find maximize revenue and at what value

Q: A manufacturer has a monthly fixed cost of $57,500 and a production cost of $9 for each unit…

A: We have to find cost, revenue and profit function.

Q: u very much! This question was super tricky.

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

Q: Consider the market for lollies where if the price per lolly is $4, total market demand for lollies…

A:

Q: find the linear cost function for an item with marginal cost of $120, and it costs 96,500 to produce…

A: Find the linear cost function for an item with marginal cost of $120, and it costs 96,500 to produce…

Q: A company manufactures and sells water bottles. Last year the company sold the water bottles for $14…

A: given that price of water bottle is $14 and the sales average 90 bottles when price is increased by…

Q: A company produces 1200 widgets a week at a total cost of $15,000 and 1800 widgets a week at a total…

A:

Q: Suppose demand is given by p = 1600 − x. Find the maximum revenue.

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.