Answer the following questions on linear programming (use the class notes to review the concepts).1. a manager has formulated the following lp problem. draw the graph and find the optimal solution. (in each, all variables are )maximize: 10x+15y, subject to 2x+5y ≤ 40 and 6x+3y ≤ 48.2. an athlete carefully watches her intake of calcium, protein, and calories. her breakfast diet consists mainly of milk and cereal, whose prices andnutrient contents appear in the following table: milk (1 oz.) cereal (1 oz.)calcium22protein26calories62pri ce$.10$.15she seeks a diet that supplies at least 50 units of calcium, 90 units ofprotein, and 66 calories at minimum cost. a. formulate, graph, and solve this decision problem. what is theminimum cost of meeting the nutrient requirements? (9)b. if the calcium requirement is increased by a small amount, say 4 units to 54, then find the new solution and the shadowprice associated with calcium.(3)

Reliability and validity reliability and validity are two important considerations that must be made with any type of data collection. reliability refers to the ability to consistently produce a given result. in the context of psychological research, this would mean that any instruments or tools used to collect data do so in consistent, reproducible ways. unfortunately, being consistent in measurement does not necessarily mean that you have measured something correctly. to illustrate this concept, consider a kitchen scale that would be used to measure the weight of cereal that you eat in the morning. if the scale is not properly calibrated, it may consistently under- or overestimate the amount of cereal that’s being measured. while the scale is highly reliable in producing consistent results (e.g., the same amount of cereal poured onto the scale produces the same reading each time), those results are incorrect. this is where validity comes into play. validity refers to the extent to which a given instrument or tool accurately measures what it’s supposed to measure. while any valid measure is by necessity reliable, the reverse is not necessarily true. researchers strive to use instruments that are both highly reliable and valid.

Cardinal company is considering a project that would require a $2,725,000 investment in equipment with a useful life of five years. at the end of five years, the project would terminate and the equipment would be sold for its salvage value of $400,000. the company’s discount rate is 14%. the project would provide net operating income each year as follows: sales $2,867,000 variable expenses 1,125,000 contribution margin 1,742,000 fixed expenses: advertising, salaries, and other fixed out-of-pocket costs $706,000 depreciation 465,000 total fixed expenses 1,171,000 net operating income $571,000 1. which item(s) in the income statement shown above will not affect cash flows? (you may select more than one answer. single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. any boxes left with a question mark will be automatically graded as incorrect.) (a)sales (b)variable expenses (c) advertising, salaries, and other fixed out-of-pocket costs expenses (d) depreciation expense 2. what are the project’s annual net cash inflows? 3.what is the present value of the project’s annual net cash inflows? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.) 4.what is the present value of the equipment’s salvage value at the end of five years? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.) 5.what is the project’s net present value? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.)

Amethod of allocating merchandise cost that assumes the first merchandise bought was the first merchandise sold is called the a. last-in, first-out method. b. first-in, first-out method. c. specific identification method. d. average cost method.