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stira [4]
3 years ago
13

A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer: 36π

Step-by-step explanation:

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The production planner for Fine Coffees, Inc. Produces two coffee blends: American (A) and British (B). He can only get 300 poun
VladimirAG [237]

Answer:

P=2A+B where:

A= # of pounds of American blend and

B= # of pounds of British blend

Step-by-step explanation:

This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)

So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.

So this is the data the problem gives us:

"He can only get 300 pounts of Colombian beans per week and 200 pounts of Dominican beans per week." This part or the problem is talking about the amount of coffee beans he can get depending on its type. This will help us find the restrictions for our linear programming problem, so they are not necessary to state the objective function. Next it states:

"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.

The next part states: "Profits for the American blend are $2.00 per pound, and profits for the British blend are $1.00 per pound." Now, we are interested in this part since it's talking about profits, which is what we need to maximize.

We set A to be the number of pounds of American blend and B to be the number of pounds of British blend. So the profit for American blend is found by using the following equation:

P_{American}=$2.00*A

And the profit for the British blend is found by using the following equation:

P_{British}=$1.00*B

so the total profit is found by adding the two given profits, so we get:

P_{total}=P_{American}+P_{British}

or

P_{total}=$2.00A+$1.00B

which can be simplified to:

P=2A+B

which is our objective function.

6 0
3 years ago
today only, a sofa is being sold at a 36% discount. The sale price is $560. what was the price yesterday?
pashok25 [27]

Answer:

Step-by-step explanation:

Let yesterday's price  be x

Discount percentage = 36%

Sale price = $ 560

(100-36)% of x = 560

64 % *x = 560

\frac{64}{100}*x=560\\\\x=560*\frac{100}{64}\\\\x=875

Yesterday's price = $ 875

8 0
3 years ago
In quotient and remainder what is the remainder of 2,117 divided by 7
Step2247 [10]


The remainder is 3 left over


3 0
3 years ago
Read 2 more answers
Cecilia's family travel 2/7 of the distance your uncles house on Saturday. They traveled 4/5 of the remaining distance on Sunday
Korolek [52]

Answer:

1 3/35

Step-by-step explanation:

3 0
3 years ago
Evaluate<br> 2^-4/4^0<br> Write your answer as a fraction in simplest form
Luden [163]

Answer:

1/16 or 0.0625

Step-by-step explanation:

Im not sure but this may be the answer

5 0
3 years ago
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