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.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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