12 multiple-choice questions, progressively harder.
A shelf display must fit within 909090 cm of width. The goal is to display as many prints as possible. Which quantity is the objective?
Solution
Correct answer: C
The objective is the quantity to maximize. Here the 909090 cm limit filters the layouts, and the print count ranks those that fit.
An exhibit base must fit inside a space 888 m wide. It also has to cost at most 250250250 dollars. Which proposal is feasible?
Correct answer: A
The width and cost are both at their allowed caps. Every other proposal exceeds at least one cap.
A 777 m by 444 m rectangular yard needs edging on all four sides. Edging costs 999 dollars per meter. What is the cost?
Correct answer: D
The total edging length is 2(7+4)2(7+4)2(7+4) meters, or 222222 meters. Multiply by the price per meter.
An outdoor kennel needs fence on three sides. An existing fence supplies the fourth side, which is 999 m long. The two perpendicular sides are each 444 m long. How many meters of new fence are needed?
Correct answer: B
Buy one 999 m edge opposite the existing fence and the two 444 m edges.
A crate must have an inside volume of at least 72 cm372\text{ cm}^372 cm3. The only requirement is capacity. Which design is feasible?
Multiply inside lengths to check capacity.
The other designs give 636363, 646464, and 707070 cubic centimeters, each below the minimum.
A storage strip is 383838 cm long. Each carton takes 999 cm of length and the cartons can touch. What is the most cartons in one row?
The count must be a whole number and still fit.
Five would need 454545 cm, so four is the row maximum.
Six possible awning layouts were tested. The least expensive feasible one is layout P. Other layouts were never evaluated. Which claim does the test support?
The comparison covers the designs tested and the stated objective, cost. Establishing a minimum over a larger set requires evidence about the rest of that set.
A roll of poster material provides 404040 square meters. A design needs 353535 square meters for the posters and 777 more for unusable offcuts. Is the design feasible with one roll?
The posters and their offcuts both use the roll.
The requirement exceeds the roll area by 222 square meters.
A package uses 160160160 square centimeters of board. Board costs 0.40.40.4 cents per square centimeter. Assembly costs 151515 cents per package. What is the total cost per package?
Pay for the board and then add the fixed assembly charge.
A team wants to minimize matting cost. The only available bids are A, B, and C. A and B meet the size requirement and cost 424242 and 494949 dollars respectively. C costs 383838 dollars and fails the size requirement. Which bid is optimal for this choice?
A and B are the feasible bids. A costs 777 dollars less than B. The list includes every available bid, so A is optimal for this choice.
Two layouts have the same feasible planting area. The model's only objective is to maximize that area. What does this objective say about the pair?
The areas are equal, so the objective gives them equal rank. Perimeter or cost could decide the choice only if the decision adds another rule.
A team calculates the material for six faces of a box and buys that amount. Which assumption makes that purchase sufficient for its area calculation?
The planned purchase covers exactly the six faces. Scraps, seams, and overlaps would require additional area if the design needed them.
Reset this practice set?
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