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1. A Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 45 milligrams of vitamin A and 13 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 10 milligrams of vitamin A and 2 milligram of vitamin B, whereas an ounce of rice contributes 6 milligrams of A and 3 milligrams of B. An ounce of oats costs $0.06, and an ounce of rice costs $0.03. a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis. 2. A Furniture Company produces chairs and tables from two resources- labor and wood. The company has 125 hours of labor and 45 board-ft. of wood available each day. Demand for chairs is limited to 5 per day. Each chair requires 7 hours of labor and 3.5 board-ft. of wood, whereas a table requires 14 hours of labor and 7 board-ft. of wood. The profit derived from each chair is $325 and from each table, $120. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Formulate a linear programming model for this problem. a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis (Do not round the answers)
c. How much labor and wood will be unused if the optimal numbers of chairs and tables are produced? 3. Kroeger supermarket sells its own brand of canned peas as well as several national brands. The store makes a profit of $0.28 per can for its own peas and a profit of $0.19 for any of the national brands. The store has 6 square feet of shelf space available for canned peas, and each can of peas takes up 9 square inches of that space. Point-of-sale records show that each week the store never sales more than half as many cans of its own brand as it does of the national brands. The store wants to know how many cans of its own brand of peas of peas and how many cans of the national brands to stock each week on the allocated shelf space in order to maximize profit. a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis.
Radioactivity is always dangerous (T/F) F Bananas have radioactivity (T/F) T Radioactivity is a nuclear process (T/F) F
A restaurant offers an "appetizer-plate special" consisting of four selections from its list of appetizers. If there are more than 700 different possible appetizer-plate specials, what is the least possible number of appetizers?
At home medical test kits have increased in popularity in recent years. This year, 300 million test kits are expected to be sold. This represents a 115% increase from the number of kits that were sold last year. How many medical test kits were sol..
kameron gibsons bank statement showed a balance of 717.72. kamerons checkbook had a balance of 209.50. check no. 104
For an electric circuit, let V=cos 2pi(t) model the electromotive force in volts at t seconds. Find smallest positive value of t where 0
project overviewin this final part of your project you will cover step 4 of the statistical analysis process -
A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit.
Indicate the domain and range of the inverse function. Compare the domain and range of f(x) and the inverse of f(x) what statement can be made about them?
The load on this beam and rollers apparatus had to be moved distance 20 units. If the circumgerance of each of the rollers is 0.8 units, how many turns must the rollers make to accomplish the move?
Calculate the value of the sample correlation coefficient between weekly sales & shelf space.
Find the optimal solution to the LP Relaxation. Round down to find a feasible integer solution. Is this solution optimal? c. Find the optimal solution.
Write a program for the arithmetic (negation of an integer, addition, subtraction and multiplication of two integers) of integers using 3's complement representation.
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