Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
Answer:
x = -5 ; y= -1
Step-by-step explanation:
10y = -10
y = -1
-8x = 44 -4
-8x = 40
x = -5
Answer:
Hi there, I believe the answer to this equation is: 2.8
Step-by-step explanation:
Subtract 7 on both sides so
5n+7=21-7
you are left with 5n=14 you need to get n by itself so divide 5 on both sides.
5n/5 = 14/5
n=2.8
Hope this is correct :)
Have a great day
Answer:
379/47
Step-by-step explanation:
1. Simplify
2. Reduce fraction to lowest terms
1 is the greatest common divisor of 3 and 47. The result can't be further reduced.
3. Convert mixed number to improper fraction
Answer:
- <em> 15</em>
- <em> 42,250</em>
Step-by-step explanation:
The given function is,
where,
P = the total production of apples,
x = the number of trees added.
As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.
The vertex will be at 
The value of the function will be maximum at,
Putting the values,
So at x=15 or for 15 number of trees the production will be ,maximum.
Putting x=15 in f(x) will yield the maximum production of apples.
