Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

If the cost c , for manufacturing x units of a certain product is given by c=x to the second power -5x+70, find the number of units manufactured at a cost of $8620 There are ? units manufactured at a cost of $8620

If The Cost C For Manufacturing X Units Of A Certain Product Is Given By Cx To The Second Power 5x70 Find The Number Of Units Manufactured At A Cost Of 8620 The class=

Sagot :

Setting c=8620 we get:

[tex]\begin{gathered} 8620=x^2-5x+70, \\ x^2-5x-8550=0. \end{gathered}[/tex]

Now, notice that:

[tex]\begin{gathered} -8550=-95\times90, \\ -5=-95+90. \end{gathered}[/tex]

Then:

[tex]x^2-5x-8550=x^2-95+90-95\times90=(x-95)(x+90)\text{.}[/tex]

Therefore:

[tex]x^2-5x-8550=0\Leftrightarrow x=95\text{ or x=-90.}[/tex]

Since x=-90 does not have real meaning, we get that x=95.

Answer: There are 95 units manufactured at a cost of $8620.

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.