Answer:
x ≥ 5
y ≥ 10
3x + 2.3y ≥ 60
Step-by-step explanation:
Lets the number of men's shoes he sells be x and women's shoes be y.
For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .
He needs to sell atleast 10 women's shoes and 5 men's shoes.
Also he needs to make atleast $60 per week.
x ≥ 5
y ≥ 10
3x + 2.3y ≥ 60
These are are the 3 required inequalities.
Now we will see an example.
If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.
He will make a total profit =
=$76
Answer:
b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.
Step-by-step explanation:
Parallel Lines:
Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.
Now, if the graphs of the linear equations in a system are parallel
⇒ By the definition, both the graphs have NO INTERSECTING POINT.
⇒There is not even one common point available to the given system of
equation.
Hence, There is no solution to the given system of equation.
Answer:
Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.
Step-by-step explanation:
Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.
Without further info, like distances
check the picture