Use a daily production cost c for x units. a manufacturer of gas grills has daily production costs of c = 400 – 5x + 0.125x2, where x is the number of gas grills produced. how many units should be produced each day to yield a minimum cost? i need pleass

20 units

Step-by-step explanation:

Given : Use a daily production cost C for x units. A manufacturer of gas grills has daily production costs of  ,  where x is the number of gas grills produced.

To find : How many units should be produced each day to yield a minimum cost?

Solution :

We observe that the given equation is in the form of quadratic equation

The minimum or maximum value of a quadratic equation occurs at its vertex.  

So, we have to find the vertex of the given equation,

Given equation -

where, a=0.125 , b=-5, c=400

The point at which value is minimize is x=20

To find the minimum cost put x=20 in the given equation,

Therefore, 20 units should be produced each day to yield a minimum cost.

it is x=-4

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116