What are the ranges of optimality for the profit of Product 1, Product 2, Product 3, and Product 4? (b) Find the shadow prices of the three constraints and interpret their meanings. What are the ranges in which each of these shadow prices is valid? (c) If the profit contribution of Product 4 changes from $10 per unit to $15 per unit, what will be the optimal solution? What will be the new total profit? (Note: Answer this question by using the sensitivity results given above. Do not solve the problem again).

One question from a survey was "how many credit cards do you currently have? " the results of the survey are provided. complete parts (a) through (g) below. click the icon to view the survey results. (a) determine the mean number of credit cards based on the raw data. the mean is 3.113.11 credit cards. (type an integer or a decimal. do not round.) (b) determine the standard deviation number of credit cards based on the raw data. the standard deviation is 1.9111.911 credit cards. (round to three decimal places as needed.) (c) determine a probability distribution for the random variable, x, the number of credit cards issued to an individual. x (# of cards) p(x) x (# of cards) p(x) 1 0.280.28 6 nothing 2 nothing 7 nothing 3 nothing 8 nothing 4 nothing 9 nothing 5 nothing 10 nothing (type integers or decimals. do not round.)

The production manager of rordan corporation has submitted the following quarterly production forecast for the upcoming fiscal year: 1st quarter 2nd quarter 3rd quarter 4th quarter units to be produced 10,800 8,500 7,100 11,200 each unit requires 0.25 direct labor-hours, and direct laborers are paid $20.00 per hour. required: 1. prepare the company’s direct labor budget for the upcoming fiscal year. assume that the direct labor workforce is adjusted each quarter to match the number of hours required to produce the forecasted number of units produced. 2. prepare the company’s direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is not adjusted each quarter. instead, assume that the company’s direct labor workforce consists of permanent employees who are guaranteed to be paid for at least 2,500 hours of work each quarter. if the number of required direct labor-hours is less than this number, the workers are paid for 2,500 hours anyway. any hours worked in excess of 2,500 hours in a quarter are paid at the rate of 1.5 times the normal hourly rate for direct labor.

Apopular low-cost airline, parson corp., has gone out of business. although the service and price provided by the airline was what customers wanted, the larger airlines were able to drive the low-cost airline out of business through an aggressive price war. which component of the competitive environment does this illustrate? a) threat of new entrants b)competitors c) economic factors d) customers d) regulators