Grafton Metalworks Company produces metal alloys from six different ores it mines. The company has an order from a customer to produce an alloy that contains four metals according to the following specications: at least 21% of metal A, no more than 12% of metal B, no more than 7% of metal C, and between 30% and 65% of metal D. The proportion of the four metals in each of the six ores and the level of impurities in each ore are provided in the following table:
Metal (%)
Ore - A - B - C - D - Impurities (%) - Cost/Ton
1 - 19 - 15 - 12 - 14 - 40 - $27
2 - 43 - 10 - 25 -7 - 15 - 25
3 - 17 - 0 - 0 - 53- 30 - 32
4 - 20 - 12 - 0 - 18 - 50 - 22
5 - 0 - 24- 10- 31 - 35 - 20
6 - 12 - 18 - 16 - 25 - 29 - 24
When the metals are processed and rened, the impurities are removed. The company wants to know the amount of each ore to use per ton of the alloy that will minimize the cost per ton of the alloy.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.

50 points mark brainliest 1) the information in the interactive presentation suggests that people a) utilize the perception of others rather that out own perception b) learn more about the positive aspects of perception c) should monitor how perceptual barriers influence our relationship d) spend more times on our personal relationships rather than our professional relationships 2) you are about to take the dog out for a walk but pause to watch the news because you hear the name of your town being mentioned hearing your town being mentioned on the news is an example of a) stimulation b) interaction c) organization d) interpretation- evaluation 3) tamara thinks ivan is upset with her because hes been unusually quiet today to better interpret the situation and communicate appropriately tamara should a) ask ivan why hes quiet and explain that hes being inconsiderate b) leave ivan alone because hes obviously going through something c) ask her guidance counselor for tips on providing therapy to a friend d) examine her own perception and then check in with ivan about his behavior 4) of the following abilities which is the most important to the perceptual checking process a) critical thinking ability b) creative ability c) memorizing ability d) organizational ability

Nellie lumpkin, who suffered from dementia, was admitted to the picayune convalescent center, a nursing home. because of her mental condition, her daughter, beverly mcdaniel, signed the admissions agreement. it included a clause requiring the par- ties to submit any dispute to arbitration. after lumpkin left the center two years later, she filed a suit against picayune to recover damages for mistreatment and malpractice. [covenant health & rehabilitation of picayune, lp v. lumpkin, 23 so.2d 1092 (miss. app. 2009)] (see page 91.) 1. is it ethical for this dispute—involving negligent medical care, not a breach of a commercial contract—to be forced into arbitration? why or why not? discuss whether medical facilities should be able to impose arbitration when there is generally no bargaining over such terms.

Portia grant is an employee who is paid monthly. for the month of january of the current year, she earned a total of $8,388. the fica tax for social security is 6.2% of the first $118,500 earned each calendar year and the fica tax rate for medicare is 1.45% of all earnings. the futa tax rate of 0.6% and the suta tax rate of 5.4% are applied to the first $7,000 of an employee's pay. the amount of federal income tax withheld from her earnings was $1,391.77. what is the total amount of taxes withheld from the portia's earnings?