[ Answer ]
[ Explanation ]
- System Of Equations
-----------------------------------
- [Substitute] Y = X + 10
- Isolate x for x + x + 10 = 10: x = 0
For y = 10
Substitute x = 0
Y = 0 + 10
0 + 10 = 10
y = 10
- Solutions
X = 0
Y = 10
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Answer:
(a)0.75x+1200=3.50x
(b)
(c)0.75x+1200<3.50x
(d)
It means the store needs to sell more than 436 funnel cakes to make a profit
Step-by-step explanation:
Given the Cost and revenue function of John boy and Mary Ellen's food stand below:
C= 0.75x+1200.
R=3.50x
(a)When Cost = Revenue
Then:
0.75x+1200=3.50x
(b)To solve the equality from part (a) above
0.75x+1200=3.50x
Collect like terms
1200=3.50x-0.75x
1200=2.75x
Divide both sides by 2.75
When Cost equals revenue, it is the <u>Break-Even Point.</u> It means the food stand will have to sell 436 funnel cakes to break even.
(c) When Cost is Less than Revenue
(d)Solving the inequality
C(x)<R(x)
0.75x + 1200<3.50x
Collect like terms
1200<3.50x-0.75x
1200<2.75x
Divide both sides by 2.75
It means the store needs to sell more than 436 funnel cakes to make a profit.