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Similar Question 1

<p>Pauline wants to sell stainless steel water bottles as a school fundraiser.
She knows that she will maximize profits, and raise <code class='latex inline'>\$1024</code>, if she sells the bottles for <code class='latex inline'>\$28</code> each. She also knows that she will lose <code class='latex inline'>\$4160</code> if she sells the bottles for only <code class='latex inline'>\$10</code> each.</p>
<ul>
<li>What selling price will ensure that she breaks even?</li>
</ul>

Similar Question 2

<p>At the Mini Market, as the price of milk drops, sales increase. On an average day, a <code class='latex inline'>4</code>-L bag of milk costs $<code class='latex inline'>3.90</code>, and the store sells an average of <code class='latex inline'>120</code> bags. For each $<code class='latex inline'>0.10</code> reduction in price of a <code class='latex inline'>4</code>-L bag, sales increase by <code class='latex inline'>20</code> bags per day. The price and value of sales can be modelled as follows, where <code class='latex inline'>n</code> is the number of $<code class='latex inline'>0.10</code> price reductions.</p>
<ul>
<li>Price, in dollars: <code class='latex inline'>3.90-0.10n</code> </li>
<li>Number of bags: <code class='latex inline'>120+20n</code> </li>
</ul>
<p>The total revenue is the product of the price and the number of bags sold. Find how many price reductions will result in revenue of $<code class='latex inline'>700</code>.</p>

Similar Question 3

<p>A ferry operator takes tourists to an island. The operator carries an average of 500 people per day for a round-trip fare of $20. The operator estimates that for each $1 increase in fare, 20 fewer people will take the trip. What fare will maximize the number of people taking the ferry?</p>

Similar Questions

Learning Path

L1
Quick Intro to Factoring Trinomial with Leading a

L2
Introduction to Factoring ax^2+bx+c

L3
Factoring ax^2+bx+c, ex1

Now You Try

<p>At the traffic safety bureau, Paul is conducting a study on the stoplights at a particular intersection. He determines that when there are <code class='latex inline'>18</code> green lights per hour, then, on average, <code class='latex inline'>12</code> cars can safely travel through the intersection on each green light. He also finds that if the number of green lights per hour increases by one, then one fewer car can travel through the intersection per light.</p><p>Determine a function to represent the total number of cars that will travel through the intersection for an increase of <code class='latex inline'>x</code> green light per hour.</p>

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