<p>A home-based sticker company that prints stickers has calculated its profit, $\$P$, for each order using the equation $P = 120x - 40 - 30x^2$, where&nbsp;$x$ is the number of stickers produced in <strong>hundreds</strong>.</p>
<ol class="abc-list"><li data-list-item-id="item-1782531960015-4i7yls89b"><div class="list-item-paragraph">Express $P = 120x - 40 - 30x^2$ in the form $P = a(x-b)^2 + c$, where&nbsp;$a$, $b$ and $c$ are constants.<span class="inline-marks">[2]</span></div></li><li data-list-item-id="item-1782531961079-gukxzwkaa"><div class="list-item-paragraph">Using your answer in <strong>(a)</strong>, explain clearly if the company should accept an order for printing $400$ stickers.<span class="inline-marks">[2]</span></div></li></ol>

A home-based sticker company that prints stickers has calculated its profit, $\$P$, for each order using the equation $P = 120x - 40 - 30x^2$, where $x$ is the number of stickers produced in **hundreds**.

Express $P = 120x - 40 - 30x^2$ in the form $P = a(x-b)^2 + c$, where $a$, $b$ and $c$ are constants.

Using your answer in **(a)**, explain clearly if the company should accept an order for printing $400$ stickers.

Quadratic Expressions, Equations, and Functions

Quadratic Expressions, Equations, and Functions