Write the system of equations represented by the matrix.
2 answers:
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Answer:
N(x) = 40 - 2x
P(x) = -2x² + 52 x - 240
maximum profit = 13
Step-by-step explanation:
given data
feeder cost = $6
average sell = 20 per week
price = $10 each
solution
we consider here price per feeder = x
and profit per feeder id here formula = x - 6
so that here
total profit will be
P (x) = ( x - 6 ) Nx
here N(x) is number of feeders sold at price = x
so formula for N (x) is here
N(x) = 20 - 2 ( x - 10 )
N(x) = 40 - 2x
so that
P(x) = (x-6) ( 40 - 2x)
P(x) = -2x² + 52 x - 240
since here
a = -2
b = 52
c = -240
a < 0
so quadratic function have maximum value of c -
so it will be
maximum value = -240 -
maximum value = 98
so here maximum profit attained at
x =
x =
x = 13
maximum profit = 13
Answer:
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Step-by-step explanation:
Let
x ----> is the number of tires produced, in thousands
C(x) ---> the production cost, in thousands of dollars
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
The graph in the attached figure
we know that
Looking at the graph
For the interval [0,1.12) ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
For the interval (34.18,39.87] ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
Remember that the variable x (number of tires) cannot be a negative number
therefore
If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
The complete question in the attached figure
we know that
[Area of her bedroom]=[11*10]+[12*8/2]+[10*6]------> 218 ft²
the answer Part A) is
Are needed 218 ft² of carpeting for the room
[perimeter of her bedroom]=[11+10+11]+[12]+[6+10+6]+[8]-------> 74 ft
the answer Part B) is
Are needed 74 ft <span>of baseboards</span> for the room
we know that
[Area of her bedroom]=[11*10]+[12*8/2]+[10*6]------> 218 ft²
the answer Part A) is
Are needed 218 ft² of carpeting for the room
[perimeter of her bedroom]=[11+10+11]+[12]+[6+10+6]+[8]-------> 74 ft
the answer Part B) is
Are needed 74 ft <span>of baseboards</span> for the room