A farmer raises only sheep and geese. She wants to raise at least 16 animals, including...

A farmer raises only sheep and geese. She wants to raise at least 16 animals, including 7 sheep. She spends $34 to raise a sheep and $15 to raise a goose, and she has $1020 availble for this project. Write a system of inequalities that describe all the given conditions. Graph the feasible region.

Expert Solution

Let, the farmer raises X sheep and Y geese.

Then, (a) she wants to raise at least 16 animals, including 7 sheep.

i.e., X + Y 16.......(i) and X 7.......(ii)

(b) She spends $34 to raise a sheep and $15 to raise a goose and she has $1020 available for this project.

i.e., 34X + 15Y 1020.......(iii)

Since, the number of sheep and geese must be positive, X 0, Y 0.

Therefore, the system of inequalities is,

X + Y 16.......(i)

X 7.......(ii)

34X + 15Y 1020.......(iii)

X 0, Y 0

Here, ABCD is the feasible region.

milcah answered 1 year ago

c++ code problems : A farmer buys 100 animals for$100.00. The animals include at least one...

c++ code problems : A farmer buys 100 animals for $100.00. The animals include at least one cow, one pig, and one chicken, but no other kind.If a cow costs $10.00, a pig costs $3.00, and a chicken costs $0.50, how many of each did he buy?please using a loop.

1. Draw a phylogenetic tree for animals including at least one species from each of the...

1. Draw a phylogenetic tree for animals including at least one species from each of the following groups in your ecosystem: ● 4 different invertebrate species from 3 different taxonomic groups. o Remember: invertebrates are found within the sponges, diploblasts, and protostomes. ● 6 different deuterostome species from 6 different taxonomic groups. o Remember: deuterostomes are found within the echinoderms, hemichordates, chordates. a. In the space below this prompt, write the common & scientific names of the 10 animal species...

An individual has a nice project of a new product, but needs money for that. She can only produce if she raises the amount

An individual has a nice project of a new product, but needs money for that.She can only produce if she raises the amount of money required (noted "K")She has the possibility of raising K if she participates on a given program (let's say, a government program).The probability of raising K through this money is p.However, to participate on this program, she needs to incur some costs c < K.The problem is that there is a probability (1 - p) that...

Chloe is buying souvenirs on vacation. She wants to spend 70 dollars at most, but only...

Chloe is buying souvenirs on vacation. She wants to spend 70 dollars at most, but only has 60 cubic inches of space available in her luggage. If bracelets cost 7 dollars and take up 3 inches of space and t-shirts are 5 dollars but take 15 inches of space, write and graph a system of four inequalities that model Chloe's possible purchases.Let x=the number of bracelets and y=the number of t-shirts. Use a scale of 2 on both axes. So...

A farmer wants to cross a river with a chicken, some grain, and a fox. His boat can only carry two items at a time.

Process Synchronization A farmer wants to cross a river with a chicken, some grain, and a fox. His boat can only carry two items at a time. The fox will eat the chicken if left alone. The chicken will eat the grain if left without the farmer. Build the application to synchronize the crossing so all three items arrive across the river.

Question