Answer:
(See explanation for further details)
Step-by-step explanation:
The standard equation of the parabola is:
The formula is now expanded into a the form of a second-order polynomial:
The general equation of the second-order polynomial is:
The equations to be solved are presented herein:
Now, the solution of the system is:
The equation of the parabola is:
Lastly, the graphic of the function is included as attachment.
You first need to establish the benefits function B. For each firm it is equal to the amount produced (q1 for firm 1 and q2 for firm 2) multiplied by the price P, minus cost C. It is
B1 = P.q1 - C1 = (69 - q1 - q2)q1 - C1
B2= P.q2 - C2 = (69 - q1 - q2)q2 - C2
As firma Will maximize benefits we need the derivative in q1 and q2 for firms 1 and 2 respectively. This will give us
69 - 2q1 - q2 = 0
69 - q1 - 2q2 = 0
Note that the derivative of cost is null as marginal cost is null.
Thus,
q2= 69 - 2q1
Replacing on the second equation:
69- q1 - 138 + 4q1 = 0
-69 + 3q1= 0
q1= 69/3=23
Replacing in the q2 equation:
q2=69- 46= 23
To find the money they make replace in benefits function. First we find piece P=69-23-23=23. Thus:
B1=23*23-C1
B2=23*23-C2
As we don't have a value for C1 and C2 we can't compute a number for benefits. If you have these values you will have the benefits.
Each peach costs $0.56 and the equations used to solve that is 
where x is the cost of 1 peach.
Step-by-step explanation:
Step 1:
It is given that all the peaches weigh the same and that 4 peaches weigh 1 pound.
Assume that each peach costs x.
So the cost for 4 peaches is given by 
Step 2:
The cost of 1 pound of peaches is given as $2.24.
1 pound of peaches
So 
So each peach costs $0.56.
Is/of =%/100 so x/59.99=14%/100 Cross multiply to get the answe
