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3 years ago

6

Ben Brought a dozen doughnuts half of the doughnuts were glazed and weighed 10.2 ounces the other half were sprinkled and weight

ed 18.31 ounces what is the total weight of Bens doughnuts???

2 answers:

Svetach [21]3 years ago

7 0

28.51oz? This seems like a trick question

yKpoI14uk [10]3 years ago

6 0

171.06=(6*10.2)+(6*18.31)

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3 years ago

Federal Rent-a-Car is putting together a new fleet. It is considering package offers from three car manufacturers. Fred Motors i

Viefleur [7K]

Answer:

40 packages from Fred Motors
20 packages from Admiral Motors
40 packages from Chrysalis

Step-by-step explanation:

I would formulate the problem like this. Let f, a, c represent the numbers of packages bought from Fred Motors, Admiral Motors, and Chrysalis, respectively. Then the function to minimize (in thousands) is …

objective = 500f +400a +300c

The constraints on the numbers of cars purchased are …

5f +5a +10c >= 700

5f +10a +5c >= 600

10f +5a +5c >= 700

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40 packages from Fred Motors
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8 0

4 years ago

Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given.

expeople1 [14]

Rewriting the two equations:

[Supply] $p = q^2+20$
[Demand] $p=-4q^2+10q+18600$

Equilibrium price is when
Supply = Demand
$q^2+20 = -4q^2+10q+18600$
$q^2+4q^2+20-10q-18600 = 0$
$5q^2-10q-18580=0$ ⇒ Simplifying the equation by dividing each term by 5

$q^2-2q-3716=0$

The simplified equation is in quadratic form.
There are three main methods for solving a quadratic equation: factorizing, completing the square, or quadratic formula.

Using the formula, we need the value of a, b, and c which is the constant of the quadratic equation.
$q_1= \frac{-b+ \sqrt{(b)^2-4ac)} }{2a}$ , and $q_2= \frac{-b- \sqrt{(b)^2-4ac)} }{2a}$

We have a = 1, b = -2, and c = -3716
Substituting these values into the formula we have
$q_1= \frac{-(-2)+ \sqrt{(-2)^2-4(1*-3716)} }{2} =61.97$
$q_2= \frac{-(-2)- \sqrt{(-2)^2-4(1*-3716)} }{2} =-59.97$

Since 'q' represents a quantity, we can't have negative values, so we choose the value of 'q' to be 61.97 ≈ 62 (rounded to the nearest whole number)

Answer: Equilibrium quantity = 62

4 0

3 years ago