Dana wants to make two types of dog treats. she has 10 cups of peanut butter and 12 cups of flour. her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. a tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. she plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. dana wants to maximize her income from selling the dog treats. when writing constraints for the problem, what is the most reasonable definition for the variables x and y? let x represent the number of cups of peanut butter used and y represent the number of cups of flour used. let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made. let x represent the number of dog bone treats made and y represent the number of cups of flour used. let x represent the number of trays of dog bone treats made and y represent number of trays of oatmeal dog treats made.

The variable x and y will stand for the peanut butter and flour.
x can be the peanut butter while y can be the flour. The constraints are: x = 10 cupsy = 12 cups
dogbone treat: 3x + 2y oatmeal dog treat: x + 4y

The paced decision model is a tool that can be used in a variety of situationsit should clarify one's alternative and criteriapaced decision-making processused to solve problems in a rational, systematic way- state the problem- list the alternatives- identify criteria- evaluate alternatives- make a decisionstep 1 - problem: the first step is to state the problem. what car should i buy? step 2 - alternatives: list some likely alternativesstep 3 - criteria: the next step is to establish criteria - what is the most important to you. (these criteria need to be state din positive terms, i.e., stated as you what you want.) ex costs less than $4000; gets at least 25 mpg,; seats at least 4; has ac;   step 4 - evaluate each alternative by comparing it to criterion. if an alternative meets a criterion, pus a + in that box - if not put a -. at the end look to see which alternative meets your most important criteria. (some criteria will be more important than others. those may be given greater weight. and, if an alternative costs more than $4000, it probably won't matter if there is a + in all the other boxes.)step 5 - decide: based on the insights gained, make a choice. be sure to explain that it won't always be the one with the most +'s - since some criteria count more than othersthe strength of this tool lies in the ability of each student to determine their own criteria for evaluation