The owner of a shop wishes to buy x guitars and y violins.To satisfy thedemands of his customers, the number o fvoilins much be less than or equal to the number of guitars
1)Write an ineqality to represent tis info
a)is it y is < or equal to x?
The cost of one guitar is $150 and the cost of one violin is $300.He has $4500 to spend to purchase these instruments.
2)Write and inequality to rep this info.
b)Is it 150X + 300Y is < or equal to 4500?
To make a good bargin, the owner of the shop must buy at least 5 violins
c)Is it y < or equal to 5?
How do i express Total profit in terms of X and Y and how do i calculate maximum profit???
The owner of a shop wishes to buy x guitars and y violins.To satisfy thedemands of his customers, the number o fvoilins much be less than or equal to the number of guitars
1)Write an ineqality to represent tis info
a)is it y is < or equal to x?
The cost of one guitar is $150 and the cost of one violin is $300.He has $4500 to spend to purchase these instruments.
2)Write and inequality to rep this info.
b)Is it 150X + 300Y is < or equal to 4500?
To make a good bargin, the owner of the shop must buy at least 5 violins
c)Is it y < or equal to 5?
How do i express Total profit in terms of X and Y and how do i calculate maximum profit???
a) Y>_ X
a) The inequality to represent this information is y ≤ x.
b) The inequality to represent this information is 150x + 300y ≤ 4500.
c) The inequality to represent the requirement of buying at least 5 violins is y ≥ 5.
To express the total profit in terms of x and y, we need to multiply the number of guitars (x) with the profit per guitar and the number of violins (y) with the profit per violin. Let's assume the profit per guitar is $p1 and the profit per violin is $p2. The total profit can be expressed as:
Total Profit = (x * p1) + (y * p2)
To calculate the maximum profit, you would need to know the specific profit values for each guitar and violin.
1) The inequality to represent this information is: y <= x. This is because the number of violins must be less than or equal to the number of guitars.
2) The inequality to represent this information is: 150x + 300y <= 4500. This is because the cost of one guitar is $150 and the cost of one violin is $300 and the owner has $4500 to spend.
c) To express the owner must buy at least 5 violins, the inequality would be: y >= 5. This means that the number of violins must be greater than or equal to 5.
To calculate the total profit in terms of x and y, you need to know the profit per guitar and the profit per violin. Let's assume the profit per guitar is $50 and the profit per violin is $100. Then the total profit can be calculated as:
Total profit = (Profit per guitar x Number of guitars) + (Profit per violin x Number of violins)
Total profit = (50x) + (100y)
To calculate the maximum profit, you would need to use optimization techniques such as linear programming. Generally, you would need to set up objective functions with constraints and solve them using specific algorithms or optimization software. However, without more specific information on the objective and constraints, it is not possible to calculate the maximum profit in this particular scenario.