Question

(PLEASE HELP) Question is worth 30 points:) The following function represents the production cost F(x) In dollars for x numbers of units produced by company 1: F(x)=0.05x^2-7x+300 The Following table represents the production cost g(x) in dollars, for x number of units produced by company 2: x: 0.6,0.8,1, 1.2, 1.4 G(x): 899.58,899.52,899.50,899.52, 899.58 based on the given information, the minimum production cost for company ____ is greater [put 1 or 2 in blank space]

Answer 1

Answer:

production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.05x^2 − 7x + 300

2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:

x        g(x)

0.6     899.58

0.8     899.52

1        899.50

1.2     899.52

1.4     899.58

3) Comparison: do a table for f(x) with the same x-values of the table for g(x).

x            f(x) = 0.05x^2 − 7x + 300    g(x)

0.6         295.818                               899.58

0.8         294.432                               899.52

1            293.05                                 899.50

1.2         291.672                               899.52

1.4          290.298                              899.58

As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.

The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).

Answer: Based on the given information, the minimum production cost for company 2 is greater.

Step-by-step explanation: