A bulldozer could carry 1/8 a ton of sand. A park need 3 tons. How many loads will the bulldozer need to carry

For the following problem state the objective function and the constraints. DO NOT solve:

Mama L [17]

Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

$P=3S+5H$

The restriction for cloth can be written as:

$S+2H\leq500$

The restriction for metal can be written as:

$2S+3H\leq600$

The restriction for wood can be written as:

$4S+7H\leq800$

The condition for S and H to be positive is:

$S, H \geq0$

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

$P=3S+5H$

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

$S+2H\leq500$

The restriction for metal can be written as:

$2S+3H\leq600$

The restriction for wood can be written as:

$4S+7H\leq800$

The condition for S and H to be positive is:

$S, H \geq0$

5 0

3 years ago

If CF = 10 in., what does ed equal?

vivado [14]

CF=EC=DC
2CF=CD
CD = 20 in.

3 0

3 years ago

On a number line: What does a closed circle mean and what does an open circle mean?

MArishka [77]

A closed circle means greater than or equal to and less than or equal to.
An open circle is greater than or less than.

4 0

3 years ago

Definition: A __________________________ is your list of all income and planned expenses.

MatroZZZ [7]

Answer:

personal budget

Step-by-step explanation:

Drawing up a budget is a good way to plan your expenditure based on how much money you expect to receive. Budgets are often estimates, because you cannot easily include unexpected expenses in a budget. However, you can plan to save some money that you can use in the event of an unexpected expense. Budgeting includes normal monthly budgeting and budgeting for particular expenses, such as an expensive item that you want to buy, a project or a trip overseas.

4 0

4 years ago

The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200

GenaCL600 [577]

We know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)

Let

A------> Lincoln, NE

B------> Boulder, CO

C------> third city

we know that

in the triangle ABC

AB=500 miles

BC=200 miles

AC=x

Applying the Triangle Inequality Theorem

1) 500+200 > x------> 700 > x------> x < 700 miles

2) 200+x > 500----> x > 500-200------> x > 300 miles

the solution for x is

300 < x < 700

the interval is------> (300,700)

the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles

6 0

3 years ago

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