Write a summary on what is Lincoln Douglas debate :) Tysm have a great day!

Which of the following statements about brand names is true? brand names give the seller an incentive to provide consistently high-quality products and services in order to protect the reputation of the brand. brand names are always economically wasteful since they dupe consumers into buying more expensive goods and services that are no different from generic versions. it is always rational to prefer brand names over generic substitutes. read the following example and determine whether it illustrates a common critique or defense of advertising. musashi sees a commercial for a brand x clothing company that depicts the wearers of the clothes out having a good time with friends. although he doesn't particularly need new clothes, the commercial prompts him to buy a brand x t-shirt.

"in my opinion, we ought to stop making our own drums and accept that outside supplier's offer," said wim niewindt, managing director of antilles refining, n. v., of aruba. "at a price of $21 per drum, we would be paying $4.70 less than it costs us to manufacture the drums in our own plant. since we use 70,000 drums a year, that would be an annual cost savings of $329,000." antilles refining's current cost to manufacture one drum is given below (based on 70,000 drums per year):

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.