Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.