Math final exam help
• Question 1
2 out of 2 points
In a transportation problem, a demand constraint (the amount of product demanded at a given destination) is a less-than-or equal-to constraint (≤).
• Question 2
2 out of 2 points
When using a linear programming model to solve the "diet" problem, the objective is generally to maximize profit.
• Question 3
2 out of 2 points
Fractional relationships between variables are permitted in the standard form of a linear program.
• Question 4
2 out of 2 points
In formulating a typical diet problem using a linear programming model, we would expect most of the constraints to be related to calories.
• Question 5
2 out of 2 points
In a balanced transportation model, supply equals demand such that all constraints can be treated as equalities.
• Question 6
2 out of 2 points
A systematic approach to model formulation is to first construct the objective function before determining the decision variables.
• Question 7
2 out of 2 points
When systematically formulating a linear program, the first step is
Answer
• Question 8
2 out of 2 points
In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, an 3 which have selling prices of $15, $47.25, and $110, respectively. The investor stipulates that stock 1 must not account for more than 35% of the number of shares purchased. Which constraint is correct?
• Question 9
2 out of 2 points
The following types of constraints are ones that might be found in linear programming formulations:
1. ≤
2. =
3. >
Answer
• Question 10
2 out of 2 points
A croissant shop produces 2 products: bear claws (B) and almond filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS of almond paste. An almond filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of yeast, and 4800 TS of almond paste available for today's production run. Bear claw profits are 20 cents each, and almond filled croissant profits are 30 cents each. What is the optimal daily profit?
• Question 11
2 out of 2 points
Assume that x2, x7 and x8 are the dollars invested in three different common stocks from New York stock exchange. In order to diversify the investments, the investing company requires that no more than 60% of the dollars invested can be in "stock two". The constraint for this requirement can be written as:
• Question 12
2 out of 2 points
If Xij = the production of product i in period j, write an expression to indicate that the limit on production of the company's 3 products in period 2 is equal to 400.
Answer
Selected Answer:
• Question 13
2 out of 2 points
In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, an 3 which have selling prices of $15, $47.25, and $110, respectively. The investor has up to $50,000 to invest. The stockbroker suggests limiting the investments so that no more than $10,000 is invested in stock 2 or the total number of shares of stocks 2 and 3 does not exceed 350, whichever is more restrictive. How would this be formulated as a linear programming constraint?
Answer
• Question 14
2 out of 2 points
Balanced transportation problems have the following type of constraints:
Answer
• Question 15
2 out of 2 points
In a portfolio problem, X1, X2, and X3 represent the number of shares purchased of stocks 1, 2, an 3 which have selling prices of $15, $47.25, and $110, respectively. The investor has up to $50,000 to invest. The expected returns on investment of the three stocks are 6%, 8%, and 11%. An appropriate objective function is
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• Question 16
2 out of 2 points
Small motors for garden equipment is produced at 4 manufacturing facilities and needs to be shipped to 3 plants that produce different garden items (lawn mowers, rototillers, leaf blowers). The company wants to minimize the cost of transporting items between the facilities, taking into account the demand at the 3 different plants, and the supply at each manufacturing site. The table below shows the cost to ship one unit between each manufacturing facility and each plant, as well as the demand at each plant and the supply at each manufacturing facility.
What is the demand constraint for plant B?
Question 17
2 out of 2 points
A systematic approach to model formulation is to first
Answer
• Question 18
2 out of 2 points
Compared to blending and product mix problems, transportation problems are unique because
• Question 19
0 out of 2 points
Quickbrush Paint Company makes a profit of $2 per gallon on its oil-base paint and $3 per gallon on its water-base paint. Both paints contain two ingredients, A and B. The oil-base paint contains 90 percent A and 10 percent B, whereas the water-base paint contains 30 percent A and 70 percent B. Quickbrush currently has 10,000 gallons of ingredient A and 5,000 gallons of ingredient B in inventory and cannot obtain more at this time. The company wishes to use linear programming to determine the appropriate mix of oil-base and water-base paint to produce to maximize its total profit. How many gallons of water based paint should the Quickbrush make? Note: Please express your answer as a whole number, rounding the nearest whole number, if appropriate.
• Question 20
2 out of 2 points
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 for the two cat foods are as follows:
Kitty Kennels wants to be sure that the cats receive at least 5 ounces of protein and at least 3 ounces of fat per day. What is the cost of this plan? Express your answer with two places to the right of the decimal point. For instance, $9.32 (nine dollars and thirty-two cents) would be written as 9.32
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