QuestionFind the cost to manufacture each additional Kinect using $C(x)=150x+30$ . Estimate the cost for 37 Kinects.

Studdy Solution

STEP 1

Assumptions1. The cost function is given by $C(x)=150x+30$ . The variable $x$ represents the number of Kinects manufactured3. The cost function is linear, meaning the cost to manufacture each additional Kinect is constant

STEP 2

The cost to manufacture each additional Kinect is represented by the coefficient of $x$ in the cost function. In this case, it's $150.
$Cost\, per\, Kinect = \$150$

STEP 3

To estimate the cost of manufacturing37 Kinects in an hour, we need to substitute $x=37$ into the cost function.
$C(37) =150 \times37 +30$

STEP 4

First, calculate the multiplication part of the equation.
$150 \times37 = \$5550$

STEP 5

Now, substitute this value back into the equation to find the total cost.
$C(37) = \$5550 +30$

STEP 6

Calculate the total cost.
$C(37) = \$5550 +30 = \$5580$ The cost to manufacture each additional Kinect is $150 and the cost of manufacturing37 Kinects in an hour is$ 5580.

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QuestionFind the cost to manufacture each additional Kinect using $C(x)=150x+30$ . Estimate the cost for 37 Kinects.

Studdy Solution

STEP 1

Assumptions1. The cost function is given by $C(x)=150x+30$ . The variable $x$ represents the number of Kinects manufactured3. The cost function is linear, meaning the cost to manufacture each additional Kinect is constant

STEP 2

The cost to manufacture each additional Kinect is represented by the coefficient of $x$ in the cost function. In this case, it's $150.
$Cost\, per\, Kinect = \$150$

STEP 3

To estimate the cost of manufacturing37 Kinects in an hour, we need to substitute $x=37$ into the cost function.
$C(37) =150 \times37 +30$

STEP 4

First, calculate the multiplication part of the equation.
$150 \times37 = \$5550$

STEP 5

Now, substitute this value back into the equation to find the total cost.
$C(37) = \$5550 +30$

STEP 6

Calculate the total cost.
$C(37) = \$5550 +30 = \$5580$ The cost to manufacture each additional Kinect is $150 and the cost of manufacturing37 Kinects in an hour is$ 5580.

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QuestionFind the cost to manufacture each additional Kinect using C(x)=150x+30C(x)=150x+30C(x)=150x+30. Estimate the cost for 37 Kinects.

Studdy Solution

STEP 1

Assumptions1. The cost function is given by C(x)=150x+30C(x)=150x+30C(x)=150x+30 . The variable xxx represents the number of Kinects manufactured3. The cost function is linear, meaning the cost to manufacture each additional Kinect is constant

STEP 2

The cost to manufacture each additional Kinect is represented by the coefficient of xxx in the cost function. In this case, it's $150.Cost per Kinect=$150Cost\, per\, Kinect = \$150CostperKinect=$150

STEP 3

To estimate the cost of manufacturing37 Kinects in an hour, we need to substitute x=37x=37x=37 into the cost function.C(37)=150×37+30C(37) =150 \times37 +30C(37)=150×37+30

STEP 4

First, calculate the multiplication part of the equation.150×37=$5550150 \times37 = \$5550150×37=$5550

STEP 5

Now, substitute this value back into the equation to find the total cost.C(37)=$5550+30C(37) = \$5550 +30C(37)=$5550+30

STEP 6

Calculate the total cost.C(37)=$5550+30=$5580C(37) = \$5550 +30 = \$5580C(37)=$5550+30=$5580The cost to manufacture each additional Kinect is 150andthecostofmanufacturing37Kinectsinanhouris150 and the cost of manufacturing37 Kinects in an hour is 150andthecostofmanufacturing37Kinectsinanhouris5580.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the cost to manufacture each additional Kinect using $C(x)=150x+30$ . Estimate the cost for 37 Kinects.

Assumptions1. The cost function is given by $C(x)=150x+30$ . The variable $x$ represents the number of Kinects manufactured3. The cost function is linear, meaning the cost to manufacture each additional Kinect is constant

The cost to manufacture each additional Kinect is represented by the coefficient of $x$ in the cost function. In this case, it's $150.
$Cost\, per\, Kinect = \$150$

To estimate the cost of manufacturing37 Kinects in an hour, we need to substitute $x=37$ into the cost function.
$C(37) =150 \times37 +30$

First, calculate the multiplication part of the equation.
$150 \times37 = \$5550$

Now, substitute this value back into the equation to find the total cost.
$C(37) = \$5550 +30$

Calculate the total cost.
$C(37) = \$5550 +30 = \$5580$ The cost to manufacture each additional Kinect is $150 and the cost of manufacturing37 Kinects in an hour is$ 5580.