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3. Tridynamic, located in Phoenix Arizona, produces cellular phone batteries. In 2016, the cost to produce
the batteries, in dollars, is modeled by C(x) = 1807x + 1300, where x is the number of batches
produced, and $1300 is the fixed cost. 2017, the minimum hourly wage for employees in Arizona
increased to $10 per hour, causing both production materials and the price of labor hour to increase. The
cost to produce one-half batch of batteries is now twice the 2016 cost to produce a single batch.

Respuesta :

MrRoyal

The cost functions for both years are illustrations of linear functions.

The cost function in 2017 is [tex]S(x) = 7228x + 5200[/tex]

Given

[tex]C(x) = 1807x + 1300[/tex] ---- in 2016

Let the cost function in 2017 be S(x)

From the question, we understand that:

[tex]\frac 12 \times S(x) = 2 \times C(x)[/tex] --- half a production in 2017 cost twice a production in 2016

Multiply through by 2

[tex]2 \times \frac 12 \times S(x) = 2 \times C(x) \times 2[/tex]

[tex]S(x) = 4 \times C(x)[/tex]

Substitute [tex]C(x) = 1807x + 1300[/tex]

[tex]S(x) = 4 \times (1807x + 1300)[/tex]

Open brackets

[tex]S(x) = 4 \times 1807x + 4 \times 1300[/tex]

[tex]S(x) = 7228x + 5200[/tex]

Hence,

The cost function in 2017 is [tex]S(x) = 7228x + 5200[/tex]

Read more about linear function at:

https://brainly.com/question/20286983

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