1. ------------------------------------------------- Consider the following linear program, which maximizes profit for two products, regular (R), and super (S): MAX 50R + 75S s.t. 1.2R + 1.6 S ≤ 600 assembly (hours) 0.8R + 0.5 S ≤ 300 paint (hours) .16R + 0.4 S ≤ 100 inspection (hours) Sensitivity Report: | | | | | | | | | Final | Reduced | Objective | Allowable | Allowable | Cell | Name | Value | Cost | Coefficient | Increase | Decrease | $B$7 | Regular = | 291.67 | 0.00 | 50 | 70 | 20 | $C$7 | Super = | 133.33 | 0.00 | 75 | 50 | 43.75 | | | | | | | | | | | | | | | | | Final | Shadow | Constraint | Allowable | Allowable | Cell | Name | Value | Price | R.H. Side | Increase | Decrease | $E$3 | Assembly (hr/unit) | 563.33 | 0.00 | 600 | 1E+30 | 36.67 | $E$4 | Paint (hr/unit) | 300.00 | 33.33 | 300 | 39.29 | 175 | $E$5 | Inspect (hr/unit) | 100.00 | 145.83 | 100 | 12.94 | 40 | A change in the market has increased the profit on the super product by $3. Total profit will increase by __________. Round your answer to the nearest integer and do not include the dollar “$” sign. 1. ------------------------------------------------- Kitty Kennels provides overnight lodging for a variety of pets. An attractive feature is the quality of care the pets receive, including well balanced nutrition. The kennel’s cat food is made by mixing two types of cat food to obtain the “nutritionally balanced cat diet.” The data…
recognition of world to this earthly and material world. When the world cut its cord from its origin and destination, the only priority with is prominent is describing the present situation of the world and things around. Beginning of rationalism of thoughts must track its origin in Greek philosophy and hidden theoretical rationalism found there. Because by presenting a rationalistic interpretation of the world, religious and heavenly interpretations gradually faded. This kind of novel thought…
math thereafter. One common misconception held about decimals is the idea that the more digits that are presented in a number, the greater the value of the number. An example of this is students believing that 3 is less than 0.7648 when this is definitely not the case. This misconception is related to Mariam Small’s third big idea where it is stated that by something about mathematical objects/relationships may become more noticeable if it is represented in…
ten-base system are important foundations of later mathematical concepts. The development of these concepts takes years and is built upon pre-number and early number development. Therefore, the development of place value and understanding of the ten-base system needs to be understood in relation to early concepts. Classifying and patterning are elements of pre-number development that need to be developed as part of numeracy. Classifying helps children distinguish what to count and forms a basis…
Counters are tokens which represent units or numbers, so they can be anything. Teachers can cheaply acquire or make a bulk amount of counters to use. Some examples of what teachers often use for this manipulative are: dried beans, popcorn kernels, jelly beans, colored paper squares, marshmallows or Fruit Loops style cereal. Another advantage of this manipulative is their ease of use. Students can use counters intuitively, it does not take much instruction time explaining how to use them. A…
60 was used for basic math and 360 was used for circles The Sumerians also gave us the decimal system. The Hindu’s gave us the Arabic Numeral System which gave mankind counting numbers. With the extension of numbers, math took off. The Hebrew’s gave us another numeral system but this one went into the hundreds. The Babylonians gave us the digit 0 and then we had a a completed number system for that time. Agriculture was a ginormous element when civilization was first coming together and it has…
Computers have all but replaced humans for doing complex calculations. But computers handle numbers much differently than humans do. At this point, the majority of people use base-10 for their math. The base of a number system refers to the number of number symbols used in that system. In base 10 the numbers used are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Humans use this system because it shortens numbers. Humans have 10 fingers so it is logical that base-10 counting systems developed naturally. But…
2014 pp. 90 identifies that a major cause of student’s difficulties in mathematics has been how they understand and process numbers. The teacher then writes on the board 723- 246. The class is asked to copy and complete the above exercise in their books. The teacher then asked a student the answer. The student says “four hundred and seventy-seven”. The teacher interrupts the student: “That is not the way you have been taught to do it” The students haven’t discussed to reason on the answer…
A student will start to develop their place value knowledge once they are confident using number names, classifying objects, identifying patterns and as they begin to develop their counting skills. From Year 1, the Australian Curriculum expects students to count collections to 100 by partitioning numbers using place value (ACARA, 2016). This means students need to learn about grouping in tens and that two-digit numbers are made up of tens and ones. Booker, Bond, Barrow and Swan (2014, p. 87)…
I. Introduction I became interested creating and applying methodologies for mathematics education because the entry-level mathematics students often encounter difficulties in understanding magnitudes of large numbers. I shall begin my case study from some experiments that how accurately the children could estimate the numbers magnitudes by various aspects of a stimulus. Thus far, my research has followed two lines of inquiry. The first line of study is to identify children’s different…