PROBLEM 2: Consider the following data Leads per Month (L) Cost Per Lead (C) Conversion Rate (R) Profit per Sale (P) Overhead per Month (H) 1500 $0.50 3.0% $50.00 $800.00 Income/month can be calculated by multiplying leads/month, conversion rate and profit per sale together. Expenses/month can be calculated by adding Overhead/month to the product of leads/month and cost/lead. Monthly profit can be calculated by subtracting monthly expenses from monthly income. Make unconstrained variables non-negative. Select GRG Nonlinear solving method. Solve for a profit of $1200 subject to the following constraints: Leads per Month (L) not more than 1700 Cost Per Lead (C) less than $0.6 Conversion Rate (R) less than or equal to 5% Profit per Sale (P) not more than $60 Overhead per Month (H) not exceeding $1000 Make sure leads per month is an integer.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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PROBLEM 2:
Consider the following data
Leads per Month (L)
Cost Per Lead (C)
Conversion Rate (R)
1500
$0.50
3.0%
Profit per Sale (P)
Overhead per Month
(H)
$50.00
$800.00
Income/month can be calculated by multiplying leads/month, conversion rate and profit per sale
together. Expenses/month can be calculated by adding Overhead/month to the product of leads/month
and cost/lead. Monthly profit can be calculated by subtracting monthly expenses from monthly income.
Make unconstrained variables non-negative. Select GRG Nonlinear solving method.
Solve for a profit of $1200 subject to the following constraints:
Leads per Month (L) not more than 1700
Cost Per Lead (C) less than $0.6
Conversion Rate (R) less than or equal to 5%
Profit per Sale (P) not more than $60
Overhead per Month (H) not exceeding $1000
Make sure leads per month is an integer.
Transcribed Image Text:PROBLEM 2: Consider the following data Leads per Month (L) Cost Per Lead (C) Conversion Rate (R) 1500 $0.50 3.0% Profit per Sale (P) Overhead per Month (H) $50.00 $800.00 Income/month can be calculated by multiplying leads/month, conversion rate and profit per sale together. Expenses/month can be calculated by adding Overhead/month to the product of leads/month and cost/lead. Monthly profit can be calculated by subtracting monthly expenses from monthly income. Make unconstrained variables non-negative. Select GRG Nonlinear solving method. Solve for a profit of $1200 subject to the following constraints: Leads per Month (L) not more than 1700 Cost Per Lead (C) less than $0.6 Conversion Rate (R) less than or equal to 5% Profit per Sale (P) not more than $60 Overhead per Month (H) not exceeding $1000 Make sure leads per month is an integer.
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