Answer:
30units,2900
Step-by-step explanation:
Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.
The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.
If x units are produced and sold we have
Costs for x units = variable costs *x +Fixed costs 
Sales revenue = no of units sold * price = 
Profit funciton = P(x) = Sales revenue - Total cost
= 
To get maximum profit we use derivative test I derivative =0 and II derivative =negative
Producing 30 units will maximize the profit.
Max profit
=P(30) = 2900
Answer:
Linear correlation exists
Step-by-step explanation:
Given the data :
X : | 2 4 5 6
Y : | 6 9 8 10
Using technology to fit the data and obtain the correlation Coefficient of the regression model,
The Correlation Coefficient, r is 0.886
To test if there exists a linear correlation :
Test statistic :
T = r / √(1 - r²) / (n - 2)
n = number of observations
T = 0.886 / √(1 - 0.886²) / (4 - 2)
T = 0.866 / 0.3535845
T = 2.449
Comparing Pvalue with α
If Pvalue < α ; Reject H0
Pvalue = 0.1143
α = 0.05
Pvalue > α ; We reject the null and conclude that linear correlation exists
Answer:
x < 4
Step-by-step explanation:
Step 1: Write inequality
5x < 20
Step 2: Solve for <em>x</em>
- Divide both sides by 5: x < 4
Here we see that any number less than 4 will work. So numbers like 3, 0, or even -12587235897 would work.
Answer:
See below.
Step-by-step explanation:
There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.
(f-35)-5=f-35-5
=f-40
OR
(35-f)-5=35-f-5
=30-f
Answer:
-9 and each term is subtracted by 5 to get the next term.
Step-by-step explanation:
The previous term is subtracted by 5.
