compute the fixed cost of the company dreaming
The company monthly expenses are given in the following table: Expenses Rent Salaries Internet and phone 400 2200 670 7000 The cost per crib is given in the table below: Wood Metal Material Mattress Paint Bedding 10 40 $ 50 20 60 1. Compute the fixed costs of the company DREAMBIG. 2. Find the variable cost if the company produces x cribs per month. 3. Write the cost function C(x) that determines the total cost of manufacturing x cribs 4. Graph the cost function C(x) on the coordinate plane (xy-plane). 5. Write the function R(x) that finds the revenue from the sale of x cribs at $ 259 each 6. Graph the revenue function R(x) on the same xy-plane 7. Write the function P(x) that finds the profit from selling x cribs. 8. Define the domain of P(x). 9. Determine the break-even point. 10. Locate the break-even point on the xy-plane. 11. Graph the profit function P(x) on the same xy-plane. 12. In few sentences interpret the graphs on the plane. MacBook Air A function is a special type of relation that relates an element from the domain to only one element in the range. The element from the range (dependent variable y or f(x)) is determined by the element in the domain (independent variable or x).The dependent variable is said to be a function of the independent variable. >$(_) = x? function name input what to output We say " of x equals x squared" In this Project we will use functions to study cost spent, revenue generated, and profit gained from a business activity at the company DREAMBIG that produces cribs for babies. Note: Fixed costs are the costs that remain whether or not a company is producing goods. Variable costs are the costs that vary with the production or sales. Cost function is the sum of total fixed costs and total variable costs. Revenue function finds the income generated from the sale of goods Profit function is the difference between the revenue function and the cost function. Break-even is when a company neither makes a profit nor sustains a loss. The company monthly expenses are given in the following table: Expenses Rent Electricity Salaries Internet and phone 400 2200 670 7000 The cost per crib is given in the table below: Material Wood Metal Paint Mattress Bedding $ 40 10 20 60 1. Compute the fixed costs of the company DREAMBIG. 2. Find the variable cost if the company produces x cribs per month 3. Write the cost function C(x) that determines the total cost of manufacturing x cribs. 4. Graph the cost function C(x) on the coordinate plane (xy-plane) 5. Write the function R(x) that finds the revenue from the sale of x cribs at $ 259 each. 6. Graph the revenue function R(x) on the same xy-plane 7. Write the function P(x) that finds the profit from selling x cribs. 8. Define the domain of P(x). 9. Determine the break-even point. 10. Locate the break-even point on the xy-plane. 11. Graph the profit function P(x) on the same xy-plane. 12. In few sentences interpret the graphs on the plane
