The Health and Wellness Company blends two organic ingredients (Ingredient 1 and Ingredient 2) to produce two health supplements (not steroids) to sell. Supplement 1 must be at least 70% Ingredient 1, and Supplement 2 must be at least 60% Ingredient 2. Up to 4,000 ounces of Supplement 1 can be sold at $6 per ounce, and up to 3,000 ounces of Supplement 2 can be sold at $5 per ounce. Up to 4,500 ounces of Ingredient 1 can be purchased at $5 per ounce, and up to 4,000 ounces of Ingredient 2 can be purchased at $4 per ounce. Required:
Set up and solve the problem to maximize the total profit for the company. The maximum total profit for the correct solution should be $8,000.

You have learned that there are many ethical concerns surrounding genetic research, and it's important to be familiar with them. for this project, you will write a persuasive essay about an ethical question in biotechnology. directions the goal of a persuasive essay is to convince people to agree with you. it is important to support your opinion with facts. a persuasive essay is not simply a description of your beliefs. be sure to organize your information, give clear examples, and build your argument carefully. read the following genetics topics below. choose a topic and then decide what side you are on. remember that there is no "right" or "wrong" side. ethical questions often have many points of view. research your topic and write a 400 word persuasive essay. topic 1: should insurance companies have the right to learn the genetic profiles of the people they insure? topic 2: should employers have the right to learn the genetic profiles of the people they hire? are there special considerations for employees in jobs in which there is a high risk to others, such as airline pilots, doctors, or bus drivers? topic 3: should scientists who identify genes and create new genetic engineering techniques have the right to patent their methods for their own profit?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?