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WorksheetsAPPLICATIONS OF QUADRATIC EQUATIONS
Total questions: 11
Worksheet time: 3hrs 45mins
The demand function for the manufacturer of a product is p = f (q) = 1800 - 3q, where p is the price (in dollars) per unit when q units are demanded (per week). Find the level of production that maximizes the total income of the manufacturer and determine this income.
The level of production must be 200 units to maximizes the total income to $240,000.
The level of production must be 400 units to maximizes the total income to $280,000.
The level of production must be 300 units to maximizes the total income to $270,000.
The level of production must be 400 units to maximizes the total income to $240,000.
The demand function for a line of plastic rules of an office supplies company is p = 1.1 - 0.0002q, where p is the price (in dollars) per unit when consumers demand q units (daily). ). Determine the level of production that will maximize the manufacturer's total income and determine this income.
The level of production must be 2750 units to maximize the total income to $1,512.50
The level of production must be 2550 units to maximize the total income to $1,212.50
The level of production must be 2950 units to maximize the total income to $1,812.50
The level of production must be 2800 units to maximize the total income to $1,912.50
The demand function for the laptops line of an electronics company is p = 2400 - 6q, where p is the price (in dollars) per unit when consumers demand q units (weekly). Determine the level of production that will maximize the manufacturer's total income and determine this income.
The level of production must be 220 units to maximize the total income to $280,000.
The level of production must be 180 units to maximize the total income to $200,000.
The level of production must be 200 units to maximize the total income to $280,000.
The level of production must be 200 units to maximize the total income to $240,000.
A market research company estimates that n months after the introduction of a new product, f(n) thousands of families will use it, where f(n)=914n(12−n), 0≤n≤12 Estimate the maximum number of families that will use the product.
Maximum 54,000 families will use the product.
Maximum 56,000 families will use the product.
Maximum 6,000 families will use the product.
Maximum 58,000 families will use the product.
Mariana standing on a hill shoots an arrow strainght up. the height h, of the arrow in feet, t seconds after it was released, is described by the function h=−16t2+80t+12 What is the maximum height reached by the arrow? How many seconds after it is released, reaches this height?
The arrow reaches reaches a maximum height of 112 ft. after 2.5 seconds.
The arrow reaches reaches a maximum height of 120 ft. after 3.5 seconds.
The arrow reaches reaches a maximum height of 102 ft. after 1.5 seconds.
The arrow reaches reaches a maximum height of 122 ft. after 4.5 seconds.
R=−3p2+60p+1060 is the weekly revenue for a company, where p is the price of the company's product. Use the discriminant to find whether is a price for which the weekly revenue would be $1500.
Yes, there are two different prices for which the weekly revenue is $1500.
Yes, there is one price for which the weekly revenue is $1500.
No, there isn't a price for which the weekly revenue is $1500.
The area of a rectangle is 24 square inches. The perimeter of the rectangle is 24 inches. Write a quadratic equation in standard form using w as variable and find the dimensions of the rectangle.
w2−12w+24=0, 3in. x 8 in.
w2+12w+24=0, 6in. x 4 in.
w2−12w−24=0, 3in. x 8 in.
w2−10w+24=0, 4in. x 6 in.
Mariana standing on a hill shoots an arrow strainght up. the height h, of the arrow in feet, t seconds after it was released, is described by the function h=−16t2+80t+12
How long would the arrow go before it hit the ground?
About 0.14 seconds
About 12.45 seconds
About 14.65 seconds
About 13.23 seconds
p=−0.1x+55 is price-demand function of a company where p is the price and x the number of units. Find the number of items sold that will give the maximum revenue and what is maximum revenue.
There is a maximum revenue of $7500.50 when 272 units are sold.
There is a maximum revenue of $7362.50 when 250 units are sold.
There is a maximum revenue of $7562.50 when 275 units are sold.
There is a maximum revenue of $275 when 2275 units are sold.
p(x)=−0.1x2+43x−3520 is the profit function of a company where p is the price and x the number of units. How many items should be sold for the company to break even?
The company should be sold 110 or 320 items to break even.
The company should be sold 120 or 300 items to break even.
The company should be sold 0 or 320 items to break even.
The company should be sold 10 or 120 items to break even.
R=−3p2+60p+400
is the weekly revenue for a company, where p is the price of the company's product. How many items should be sold for the company to break even?
The company should be sold 26 items to break even.
The company should be sold 0 or 26 items to break even.
The company should be sold 36 items to break even.
The company should be sold 24 items to break even.
