Southern Sporting Good Company makes basketballs and footballs. Each product is produced from two resources rubber and leather. Each basketball produced results in a profit of $11 and each football earns $15 in profit. The resource requirements for each product and the total resources available are as follows: Product Resource Requirements per Unit Rubber (lb.) Leather (ft2) Basketball 2.8 3.7 Football 1.5 5.2 Total resources available 600 900 a. Find the optimal solution. b. What would be the effect on the optimal solution if the profit for the basketball changed from $11 to $12? c. What would be the effect on optimal solution if 400 additional pounds of rubber could be obtained? What would be the effect if 600 additional square feet of leather could be obtained? 2. A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Product Resource Requirements per Unit Line 1 Line 2 A 11 5 B 6 9 Total Hours 65 40 a. Formulate a linear programming model to determine the optimal product mix that will maximize profit. MAT540 Homework Week 7 Page 2 of 3 b. What are the sensitivity ranges for the objective function coefficients? c. Determine the shadow prices for additional hours of production time on line 1 and line 2 and indicate whether the company would prefer additional line 1 or line 2 hours. 3. Formulate and solve the model for the following problem: Irwin Textile Mills produces two types of cotton cloth denim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 8 pounds of raw cotton per yard, whereas denim requires 6 pounds of raw cotton per yard. A yard of corduroy requires 4 hours of processing time; a yard od denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 yards per month. The manufacturer has 6,500 pounds of cotton and 3,000 hours of processing time available each month. The manufacturer makes a profit of $2.5 per yards of denim and $3.25 per yard of corduroy. The manufacturer wants to know how many yards of each type of cloth to produce to maximize profit. Formulate the model and put it into standard form. Solve it a. How much extra cotton and processing time are left over at the optimal solution? Is the demand for corduroy met? b. If Irwin Mills can obtain additional cotton or processing time, but not both, which should it select? How much? Explain your answer. 4. The Bradley family owns 410 acres of farmland in North Carolina on which they grow corn and tobacco. Each acre of corn costs $105 to plant, cultivate, and harvest; each acre of tobacco costs $210. The Bradleys’ have a budget of $52,500 for next year. The government limits the number of acres of tobacco that can be planted to 100. The profit from each acre of corn is $300; the profit from each acre of tobacco is $520. The Bradleys’ want to know how many acres of each crop to plant in order to maximize their profit. a. Formulate the linear programming model for the problem and solve. b. How many acres of farmland will not be cultivated at the optimal solution? Do the Bradleys use the entire 100-acre tobacco allotment? c. The Bradleys’ have an opportunity to lease some extra land from a neighbor. The neighbor is offering the land to them for $110 per acre. Should the Bradleys’ lease the land at that price? What is the maximum price the Bradleys’ should pay their neighbor for the land, and how much land should they lease at that price? MAT540 Homework Week 7 Page 3 of 3 d. The Bradleys’ are considering taking out a loan to increase their budget. For each dollar they borrow, how much additional profit would they make? If they borrowed an additional $1,000, would the number of acres of corn and tobacco they plant change?

Applied behavior analysis (ABA) is used as a science of modifying behavior in many professions involving elements of performance. For example, a sports coach uses performance management knowledge to train and improve the performance of players. Human resource professionals use similar knowledge to increase the effectiveness and engagement of their employees.In this assignment, you will briefly review the current literature regarding the implementation and benefits of ABA, and organizational behavior management (OBM) to a field of interest to you (please go ahead and adapt this to relate to your dissertation topic).General Requirements:Use the following information to ensure successful completion of the assignment:Instructors will be using a grading rubric to grade the assignments. It is recommended that learners review the rubric prior to beginning the assignment in order to become familiar with the assignment criteria and expectations for successful completion of the assignment.Doctoral learners are required to use APA style for their writing assignments. The APA Style Guide is located in the Student Success Center.Refer to Chapters 2-4 of the Publication Manual of the American Psychological Association (7th ed.) for specific guidelines related to doctoral level writing. These chapters contain essential information on manuscript structure and content, clear and concise writing, academic grammar and usage.You are required to submit this assignment to LopesWrite. Refer to the LopesWrite Technical Support articles for assistance.This assignment requires that at least two additional scholarly research sources related to this topic, and at least one in-text citation from each source be included.Directions:Write a brief (1,250 - 1,500 words) review of the current literature regarding the implementation and benefits of ABA, and OBM to a field of interest to you (adapt this to relate to your dissertation topic). Include the following in your paper:1.A brief review of the current literature regarding the implementation and benefits of ABA in sports psychology/SPORTS PSYCHOLOGIST.2.A brief review of the current literature regarding the implementation and benefits of OBM in sports psychology/SPORTS PSYCHOLOGIST.This would be within the settings that sports psychologist work in, environment, performers, etc. This is more so the benefits of ABA and OBM in the realm of sports psychology/sports psychologist and performers. PLEASE USE APA 7th edition and please review the rubric. ALL REFERENCES MUST BE SCHOLARLY ARTICLES. The instructor requested two scholarly sources but I have found that grading is affected if there are not enough research sources. Thank you for everything.🙏