Some students want to start a business that cleans and polishes cars. It takes 1.5 hours of labor and costs $2.25 in supplies to clean a car. It takes 2 hours of labor and costs $1.50 in supplies to polish a car. The students can work a total of 120 hours in one week. They also decide that they want to spend no more than $135 per week on supplies. The students expect to make a profit of $7.75 for each car that they clean and a profit of $8.50 for each car that they polish. Find the fllowing: Cost’ constraint is: * 2.25X1+1.5X2≤135 1.5X1+2.25X2≤120 2.25X1+1.5X2≤120 1.5X1+2.25X2≤135 Hours’ constraint is: * 2X1+1.5X2≤120 1.5X1+2X2≤120 1.5X1+2.25X2≤135 2.25X1+1.5X2≤120 The objective function is: * Maximize Z=7.75 X1+8.5X2 Maximize Z=1.5X1+2X2 Maximize Z=8.5 X1+7.75X2 Maximize Z=2.25X1+1.5X2 How many cars need to be cleaned and polished to guarantee the highest possible profit?
Some students want to start a business that cleans and polishes cars. It takes 1.5 hours of labor and costs $2.25 in supplies to clean a car. It takes 2 hours of labor and costs $1.50 in supplies to polish a car. The students can work a total of 120 hours in one week. They also decide that they want to spend no more than $135 per week on supplies. The students expect to make a profit of $7.75 for each car that they clean and a profit of $8.50 for each car that they polish. Find the fllowing: Cost’ constraint is: * 2.25X1+1.5X2≤135 1.5X1+2.25X2≤120 2.25X1+1.5X2≤120 1.5X1+2.25X2≤135 Hours’ constraint is: * 2X1+1.5X2≤120 1.5X1+2X2≤120 1.5X1+2.25X2≤135 2.25X1+1.5X2≤120 The objective function is: * Maximize Z=7.75 X1+8.5X2 Maximize Z=1.5X1+2X2 Maximize Z=8.5 X1+7.75X2 Maximize Z=2.25X1+1.5X2 How many cars need to be cleaned and polished to guarantee the highest possible profit?
Some students want to start a business that cleans and polishes cars. It takes 1.5 hours of labor and costs $2.25 in supplies to clean a car. It takes 2 hours of labor and costs $1.50 in supplies to polish a car. The students can work a total of 120 hours in one week. They also decide that they want to spend no more than $135 per week on supplies. The students expect to make a profit of $7.75 for each car that they clean and a profit of $8.50 for each car that they polish. Find the fllowing: Cost’ constraint is: * 2.25X1+1.5X2≤135 1.5X1+2.25X2≤120 2.25X1+1.5X2≤120 1.5X1+2.25X2≤135 Hours’ constraint is: * 2X1+1.5X2≤120 1.5X1+2X2≤120 1.5X1+2.25X2≤135 2.25X1+1.5X2≤120 The objective function is: * Maximize Z=7.75 X1+8.5X2 Maximize Z=1.5X1+2X2 Maximize Z=8.5 X1+7.75X2 Maximize Z=2.25X1+1.5X2 How many cars need to be cleaned and polished to guarantee the highest possible profit?
Q/Some students want to start a business that cleans and polishes cars. It takes 1.5 hours of labor and costs $2.25 in supplies to clean a car. It takes 2 hours of labor and costs $1.50 in supplies to polish a car. The students can work a total of 120 hours in one week. They also decide that they want to spend no more than $135 per week on supplies. The students expect to make a profit of $7.75 for each car that they clean and a profit of $8.50 for each car that they polish. Find the fllowing:
Cost’ constraint is: *
2.25X1+1.5X2≤135
1.5X1+2.25X2≤120
2.25X1+1.5X2≤120
1.5X1+2.25X2≤135
Hours’ constraint is: *
2X1+1.5X2≤120
1.5X1+2X2≤120
1.5X1+2.25X2≤135
2.25X1+1.5X2≤120
The objective function is: *
Maximize Z=7.75 X1+8.5X2
Maximize Z=1.5X1+2X2
Maximize Z=8.5 X1+7.75X2
Maximize Z=2.25X1+1.5X2
How many cars need to be cleaned and polished to guarantee the highest possible profit? *
Clean 40 cars and polish 60 cars
Clean 30 cars and polish 40 cars
Clean 40 cars and polish 30 cars
Clean 60 cars and polish 30 cars
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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