For this case, the first thing we are going to do is define variables:
d: deluxe crackers
c: classic crackers
x: ounces of sugar
y: ounces of flour
z: ounces of salt
The obtetive function is to maximize the production:
It is subject to the following restrictions:
ounces of sugar:
ounces of flour:
ounces of salt:
Answer:
the objective function is:
maximize production:
Answer:
Step-by-step explanation:
To use the quadratic formula, we must write the quadratic in standard form, viz:
2x^2 - 4x + 7 = 0
Start by calculating the discriminant. That's b^2 - 4(a)(c). Here,
a = 2, b = -4 and c = 7, and so the discriminant for this particular problem is
(-4)^2 - 4(2)(7), or 16 - 56, or 40.
Recall that a positive discriminant indicates two real, unequal roots.
Now we write out the whole quadratic formula, with the appropriate constants inserted (see above):
-(-4) ± √40 4 ± (√4)(√10) 4 ± 2√10
x = --------------------- = ---------------------- = ---------------
2(2) 4 4
2 ± √10
which reduces to x = --------------
2
Answer:
99 ft^2
Step-by-step explanation:
In order to find the area, you have to take the area of the rectangle and subtract it with the area of the triangle
Equation for area of a rectangle: w x L
L = 12ft
w = 10ft
12 x 10 = 120ft^2
Equation for area of a triangle: 1/2(h x b)
h = 7ft
b = 6ft
1/2(7 x 6)
1/2(42) = 21ft^2
120 - 21 = 99ft^2
Step-by-step explanation:
212×3= 636 two hundred and twelve multiple by three equals six hundred and thirty six