Marco is investigating some of the business models of SureSpin, one of Faster Fidget's top competitors. He has learned that they model their cost of production for one type of spinner with the function C(x) = 13,450 + 1.28x, where x is the number of spinners produced. Interpret the model to complete the statement. Type the correct answer in each box. Use numerals instead of words. Based on the model, the fixed cost of production is $

$13,450

Step-by-step explanation:

The fixed costs of production, are the costs incurred that are independent from the production volume, that is, regardless of how many spinners the company produces, those costs will remain the same. If 'x' is the number of spinners produced, interpreting the cost function, we can see that it costs $1.28 to produce each spinner and that there is a cost that does not rely on production of $13,450. Therefore, the fixed cost of production is $13,450.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

explanation:

step-by-step explanation: