Using the below data calculate the quadratic formula.
Then calculate the following:
i) Fixed cost
ii) Average total cost
iii) Marginal cost
d) Using your answers from part c) calculate fixed cost, average
total cost, and marginal cost if 25 units
Coefficient
Std. Error
t-ratio
p-value
const
2.22486
2.29906
0.9677
0.3347
q
0.00434763
0.000230941
18.83
<0.0001
sq_q
1.63160e-08
2.79915e-09
5.829
<0.0001
Exercise 4.9.29: Solve the following systems of congruences, or
state that there is no solution. Be sure to state if there are
multiple solutions.
a. {6 = 13a + b(mod 26), 13 = 4a + b(mod 26)
b. {14 = 17a + b(mod 26), 8 = 7a + b(mod 26)
c. {1 = 15a + b(mod 26), 10 = 9a + b(mod 26)
CRT and solving linear congruences (No credit will be given for
simply guessing and proving that your answer is correct): (a) Solve
the system of linear congruences: x ≡ [1, 2, 3] (mod [3, 5, 7]).
(b) If 3x ≡ 2 (mod 7) and 5x ≡ 3 (mod 13), find a solution for x
modulo 91 if it exists. (c) Solve for x if 3x ≡ 15 (mod 18) and 4x
≡ 5 (mod 15), if it exists. (d) Solve...
1) Solve the given quadratic equation by using
Completing the Square procedure and by
Quadratic formula ( you must do it both ways).
Show all steps for each method and put your answer in simplest
radical form possible.
2) Which part of the Quadratic Formula can help you to find the
Nature of the roots for the Quadratic Equation. Explain how you can
find the nature of the roots and provide one Example for
each possible case with solution.