Question: Use calculus to solve this and show work. Topic: Optimization 1. Determine two numbers that add to 15 such that the product of the first

Use calculus to solve this and show work. Topic: Optimization 1.

Use calculus to solve this and show work. Topic: Optimization

1. Determine two numbers that add to 15 such that the product of the first and twice the second will be a maximum. 2. Determine two numbers that have a difference of 10 for which their product is a minimum. 3. A farmer needs to make three adjacent, identical fenced in pens using 100 ft. of fencing. Find the total dimensions of the pen that will give a maximum area

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

Example 3. If you have five t-shirts, five pants, and two pair of shoes. How many ways you can dress up yourself? Solution: There are 3 positions to fill in. (t-shirt, pants, and shoes) t-shirt - 5...

Discussion Week 5 Angela Mercier 42. m2+23m+24 - I am using the \"ac method\" to solve this problem. -First, check for the GCF, the largest integer that is a factor of two or more integers. There is...

business quiz Exercises 7 for half our current forests to be cleared? (Use annual compounding and solve for the fewest number of whole years.) Exercise 1.8 (Moderate) World population was about 679...

Design and Implement an Algorithm in Java to solve the following problem in solving linear equations using the Gaussian Elimination method. Definition: A system of linear equations can be placed into...

just only 2 questions ,please read the requirment word by word and be careful about the style of the reference(APA) , file 3.1 is for question 2..BTW,please focus the every step FINANCE SPOTLIGHT...

12:38 4 Assignment Details MTH 154-N41A: Quantitative Reasoning (SP21) MTH 154 Excel Project In this major project, you will create an Excel file and answer questions about linear and exponential...

I need help with this please. Essentially I need to complete each of the functions listed within the directions. The main functions are just for testing the listed functions. A sample output would be...

Abstract In this programming assignment, you will implement a Fibonacci function that avoids repet- itive computation by computing the sequence linearly from the bottom up: F(0) through F(n) . The...

screenshot Tops, Inc. The Business Situation After graduating with a degree in business from Rural College in Campus Town, USA, Michael Woods realized that he wanted to remain in Campus Town and...

In the previous year, revenue of ABC Co was 230m dollars. Its revenue is 400m dollars for this year ended 31 December 20K1. ABC Cos customers consist of 10 large ones and 60 small ones. Additional...

What is a pure discount bond?

Lixin takes 6.8 minutes to walk from her home to the shopping mall 628 m away. Write down a calculation you could do mentally to estimate the average speed for her journey in m/s.

A box is kept on a rough horizontal surface. A horizontal force just strong enough to move the box is applied. This force is maintained for 2 seconds, and is then removed. The total distance moved by...

A uniform rope of mass m and length * is held motionless on a frictionless fixed sphere of radius r with one end of the rope at the top of the sphere. The rope is then released from rest. Immediately...

7. Find all Pythagorean triples in which one of the three numbers is 7. Explain your answer.

Among a group of 5 8 programmers, who know either Java or Python or both, 1 5 only know Java and 1 3 only know Python. What is the probability of randomly choosing a programmer who knows both...

A company's income statement shows a net profit of $1,500 on the sale of by-products. Comment on the usefulness of this information to the company's management.

Relating allocation methods to organizational characteristics for a retailer (adapted from CMA exam). Columbia Company is a regional office supply chain with 26 independent stores. The firm holds...

Why would management be concerned over the methods used in accounting for by-products?