Quadratic Functions and Equations in Financial Context — Quiz Answers

In the graph of the risk function for two investments R⁡(x) , x is the portion invested in the first of two options. What portion of the investment should the investor put into the first option? Round to the nearest hundredth. Expand Image Enter your answer in the box.

An investor wants to minimize risk by distributing funds into two options. The risk function is R⁡(x)=0.061⁢x^2−1.058⁢x+0.529 If x is the portion invested in the first option, how should the investor distribute the funds to minimize risk?

The profit formula for a company can be represented using the function P⁡(x)=−6⁢x^2+2,400⁢x−12,000 , where x is the selling price of the product. An investor will purchase stock shares when the profits are predicted to be greater than $⁢189,600 Complete the range of selling prices for which the profits will meet the investor's requirements. Round to the nearest cent if necessary. Enter your answers in the boxes.

The price that companies set for a product is determined by market demand. The graph d⁡(x)=−0.036⁢x^2−0.09⁢x+6,000 represents the demand, where x is the number of units. Expand Image Which statement is true about the solution in terms of the situation? Round to the nearest whole number.

To determine whether a company’s profits will justify purchasing its stock, an investor wants to know the maximum possible profits for the company's signature product. The profit formula for the signature product can be represented using the function P⁡(x)=−7⁢x^2+4,200⁢x−20,000 , where x is the selling price of the product. What numbers for the selling price and the projected profit at the maximum of the function can the investor use to determine whether purchasing the stock is viable? Round to the nearest cent if necessary. Enter your answer in the boxes.

An investor has $⁢12,000 to distribute between two investments. If x is the portion invested in the first option, how should the investor distribute the funds to minimize the risk if the risk function is R⁡(x)=0.046⁢x^2−0.068⁢x+0.034 ? Give the answers as decimals to the nearest thousandth. Enter your answers in the boxes.

To anticipate future returns on earnings, a business owner starts by finding the break-even point of a new product. The revenue function is R⁡(x)=−0.0096⁢x^2+600⁢x , and the cost function is C⁡(x)=185,000+480⁢x In both functions, x is the number of units sold. According to the functions, what is the larger number of units the company can sell to break even? Round your answer to the nearest thousand. Enter your answer in the box.

To determine whether to purchase a company's stock, an investor will use a profit-prediction formula for a company's signature product depending on that product’s current selling price. The profit formula for the company can be represented using the function P⁡(x)=−20⁢x^2+4,400⁢x−24,000 , where x is the selling price of the product. Use a graphing calculator to determine the selling price that results in the maximum profits. Round to the nearest cent if necessary.

To anticipate future returns on earnings, a business owner starts by finding the break-even point of a new product. The revenue function is R⁡(x)=−0.0045⁢x^2+200⁢x , and the cost function is C⁡(x)=155,000+120⁢x In both functions, x is the number of units sold. According to the functions, what is the larger number of units the company can sell to break even? Round your answer to the nearest thousand. Enter your answer in the box.

The price that companies set for a product is determined by market demand. The equation graph, where x is the number of units, represents the demand. For how many units is the demand 0 ? Round to the nearest whole number. Expand Image Enter your answer in the box.