Question

Each unit of a product can be made on either machine A or machine B. The...

Each unit of a product can be made on either machine A or machine B. The nature of the machines makes their cost functions differ.

Machine A: 30+ (x^2) / 6

Machine​ B: C (y) =180 + (y ^3) / 9

Total cost is given by ​C(x,y)= C(x)+ C(y). How many units should be made on each machine in order to minimize total costs if x+y=14,520 units are​ required?

The minimum total cost is achieved when ----------? units are produced on machine A and --------------? units are produced on machine B. ​(Simplify your​ answer.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Each unit of a product can be made on either machine A or machine B. The...
Each unit of a product can be made on either machine A or machine B. The nature of the machines makes their cost functions differ. Machine A: C(x)= 60+x^2/6 Machine B: C(y)= 240+y^3/9 Total cost is given by ​C(x,y)equals=Upper C left parenthesis x right parenthesisC(x)plus+Upper C left parenthesis y right parenthesisC(y). How many units should be made on each machine in order to minimize total costs if xplus+yequals=22 comma 65022,650 units are​ required? The minimum total cost is achieved when...
Each unit of a product can be made on either machine A or machine B. The...
Each unit of a product can be made on either machine A or machine B. The nature of the machines makes their cost functions differ.Total cost is given by ​C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if x+y=19,740 units are​ required? c(x)=50+(x^2/6) c(y)=160+(y^3)/9.
A company manufactures x units of Product A and y units of Product B, on two...
A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $4/unit of Product A and a profit of $3/unit of Product B. To manufacture a unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture a unit of Product B requires 9 min on Machine I and 4 min on...
A company can sell all the units it can produce of either Product A or Product...
A company can sell all the units it can produce of either Product A or Product B but not both. Product A has a unit contribution margin of $18 and takes two machine hours to make and Product B has a unit contribution margin of $30.0 and takes three machine hours to make. If there are 5000 machine hours available to manufacture a product, income will be $5000 less if Product A is made. $5000 less if Product B is...
A company can sell all the units it can produce of either Product A or Product...
A company can sell all the units it can produce of either Product A or Product B but not both. Product A has a unit contribution margin of $8 and takes two machine hours to make and Product B has a unit contribution margin of $22.5 and takes three machine hours to make. If there are 5000 machine hours available to manufacture a product, income will be $17500 less if Product B is made. $17500 more if Product A is...
A company manufactures x units of Product A and y units of Product B, on two...
A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $5/unit of Product A and a profit of $2/unit of Product B. To manufacture a unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture a unit of Product B requires 9 min on Machine I and 4 min on...
A cell phone battery can be produced by machine A, machine B, or machine C. Twenty...
A cell phone battery can be produced by machine A, machine B, or machine C. Twenty percent of the time the battery will be produced by machine A, 45% by machine B, and 35% by machine C. A quality control analyst inspects the batteries after production and finds that machine A makes defective batteries 10% of the time, where machines B and C each makes defective batteries 8% of the time. One cell phone battery is randomly selected from the...
A manager must decide which type of machine to buy, A, B, or C. Machine costs...
A manager must decide which type of machine to buy, A, B, or C. Machine costs (per individual machine) are as follows: Machine Cost A $40,000 B $30,000 C $80,000 Product forecasts and processing times on the machines are as follows: Product Annual Processing Time Per                            Demand A B C 1 18,000 4 2 1 2 20,000 1 5 3 3 20,000 5 6 6 4 16,000 4 6 3 a)Assume that only purchasing costs are being considered. Compute the...
If the total cost function for a product is C(x) = 9(x + 3)^3 dollars, where...
If the total cost function for a product is C(x) = 9(x + 3)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost? a) x= ? b) Find the minimum average cost per hundred units.
In Zhuang LTD , data concerning two products are Contribution margin per unit—Product A $10, Product...
In Zhuang LTD , data concerning two products are Contribution margin per unit—Product A $10, Product B $12; machine hours required for one unit—Product A 2, Product B 3. a) Calculate the contribution margin per unit of the limited resource for each product: Product A: $ Answer per hour Product B: $ Answer per hour b) If Zhuang LTD has a limited number of machine hours and can sell all the units produced of either product, which product should it...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT