The demand for carolina industries

Assignment Help Mathematics
Reference no: EM13313548

The demand for Carolina Industries' product varies greatly from month to month. Based on the past two years of data, the following probability distribution shows the company's monthly demand:

Unit Demand Probability
300 0.20
400 0.30
500 0.35
600 0.15

a. If the company places monthly orders equal to the expected value of the monthly demand, what should Carolina's monthly order quanitity be for this product?
b. Assume that each unit will demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month if it places an order based on your answer to part (a) and the actual demand for thr the item 300 units?

10. Consider a binomial experiment with n = 10 and p = 0.10. Use the binomial tables (Appendix B) to the answer parts (a) through (d).
a. Find f(0).
b. Find f(2).
c. Find P(x < (less then or equal to symbol) 2).
d. Find P(x > (greater than or equal to) 1).
e. Find E(x).
f. Find Var(x) and o.

24. Probability : Demand for a Product
The demand for a product is estimated to be normally distributed with u=200 and o=40. Let x be the number of units demanded and find the following probabilities.

a. P(180< x <220)
b. P(x > 250)
c. P(x < 100)
d. P(225 < x < 250)

25. In 2003, the average stock price for companies making up the S&P 500 was $30, and the standard deviation was $8.20 (BusinessWeek, Special Annual Issue, Spring 2003). Assume the stock prices are normally distributed.
a. What is the probability that a company will have a stock price of at least $40?
b. What is the probability that a company will have a stock price no higher than $20?
c. How high does a stock price have to be to put a company in the top 10%?

Reference no: EM13313548

Questions Cloud

Determine the dimensions of the pit that minimizes cost : Assume excavation costs at $100/m3, side lining costs at $50/m2, and cover cost at 25/m2. Determine the dimensions of the pit that minimize cost -If the side slope is unconstrained and -If the side slope must me less than 450
The commission based compensation : A shoe salesperson is paid the greater of $600 per week or 11% of sales. At what volume of sales per week will he start to earn more from the commission based compensation?
Find the distance between center of mass of two probe system : Two identical probes are sent along the same path toward a neutron star. Find the distance between the center of mass of the two probe system
Calculate detention time nd horizontal flow-through velocity : 45 ft wide, and 14 ft deep and treats 10 mgd. The power input to provide paddle-blade velocities of 1.0 and 1.4 fps for the inner and outer blades, respectively, is 930 ft'lb/s.
The demand for carolina industries : The demand for Carolina Industries' product varies greatly from month to month.
What is the mass of that sun : A planet with mass 7 x 1024 kg orbits a sun with a period of 1 Earth's years. The speed of the planet around that sun is constant and |v|=49600 m/s
Explain liquid water in equilibrium with humid air : Use the Gibbs phase rule to find the degrees of freedom for the following systems at equilibrium: a. Liquid water in equilibrium with water vapor. b. Liquid water in equilibrium with humid air.
Calculate amount of suspended solids accumulating each day : A sedimentation basin is used to remove suspended solids from a wastewater. The rate of flow of wastewater into the tank is 10 L/s, and the influent concentration of suspended solids is 200 mg/L.
Generate suitable design information to produce max power : During the recent camping trip, a curious junior engineering student (like yourself) noticed that water is being discharged from a high reservoir to a stream in the valley through a 0.3 m diameter plastic pipe.

Reviews

Write a Review

Mathematics Questions & Answers

  How far are you from your staring point

You walk 88 yards due south, then 124 yards due west, and then 44 yards due north. How far are you from your staring point?

  List the sample space

Determine the exact probability of creating a mini license plate with a 5. Give solution exactly in reduced fraction form.

  Percentage of defective chips and normal distribution

Probability : Percentage of Defective Chips and Normal Distribution, A student needs 12 chips of a certain type to build a circuit. It is known that 5% of these chips are defective.

  What is the standard deviation of the weights

If the average (mean) mid-twenties male weighs 169 pounds and a weight of 148 is in the 31st percentile, what is the standard deviation of the weights in this age group? Round the answer to 2 decimal places.

  Create the computer-based simulation model

Describe specifically how you will use the technology to create the computer-based simulation model.

  Does the sequence converge or diverge and why

find the limit of the sequence {an} = 3n^2+1/n^2-2. also, does the sequence converge or diverge and why? does the series converge or diverge and why?

  How many seconds does the snake take to exit

A snake slides through a long cylindrical hole in the ground at 6 centimetres per second. The hole is 7.5 metres in length. The snake takes 14 seconds to enter the hole. How many seconds does the snake take to exit the hole after entering it?

  Find the probability distribution of x

A shipment of 7 television sets contains 2 defective sets. A hotelmakes a random purchase of 3 of the sets. If x is the number ofdefective sets purchased by the hotel, find the probability distribution of X.

  Applicable corner points-maximize profit

A company makes two soft drinks A and B. Each liter of A requires 4 hours processing and 4 hours distillation while each liter of B requires 5 hours processing and 3 hours distillation.

  Find the first four zeros of the function

Find the first four zeros of the function f(z)=1+z^2+e^z ordered according to increasing complex absolute values. How do you know these are the first four zeros and that you have not missed some?

  Discrete math-modular arithmetic

Please provide an explanation of Modular Arithmetic. I find it very confusing and am having trouble understanding the definitions and applying them.

  How many configurations of occupied

Probability question. A doctor's office has 4 examination rooms. At any given time, each room can either be occupied or empty. How many configurations of occupied and empty examination rooms are possible?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd