Determine the number of significant figures in each measurement: 30.07 nm

State the dual problem for each linear programming problem. Maximize

$$z=2x_{1}+7x_{2}+4x_{3}$$

subject to

$$\begin{array}{llll} 4x_{1} & +2x_{2} & +x_{3} & \leq 26\\ x_{1} & +7x_{2} & +8x_{3} & \leq 33 \end{array}$$

with $x_{1}\geq 0,\ x_{2}\geq 0,\ x_{3}\geq 0.$

Determine the number of significant figures in each measurement: 26.509 cm

A health clinic dietician is planning a meal consisting of three foods whose ingredients are summarized as follows:

$$\left[\begin{array}{l|c|c|c} & & \text{One Unit of} & \\ & \text{Food I} & \text{Food II} & \text{Food III} \\ \hline\text{Units of protein} & 10 & 15 & 20\\ \text{Units of carbohydrates} & 1 & 2 & 1\\ \text{Units of iron} & 4 & 8 & 1\\ \text{Calories } & 80 & 120 & 100 \end{array}\right]$$

The dietician wishes to determine the number of units of each food to use to create a balanced meal containing at least 40 units of protein, 6 units of carbohydrates, and 12 units of iron, with as few calories as possible. How many units of each food should be used in order to minimize calories? (a) Formulate a linear programming problem that models the problem. Be sure to identify all variables used. (b) Solve the linear programming problem. (c) Analyze the solution.

Round each figure to three significant figures. 25.38 L

How many significant figures are in each of the following? 60800000 g

At the beginning of each period, a company must determine how many units to produce. A setup cost of $5 is incurred during each period in which production takes place. The production of each unit also incurs a$2 variable cost. All demand must be met on time, and there is a $1 per-unit holding cost on each period’s ending inventory. During each period, it is equally likely that demand will equal 0 or 1 unit. Assume that each period’s ending inventory cannot exceed 2 units. a. Use dynamic programming to minimize the expected costs incurred during three periods. Assume that the initial inventory is 0 units. b. Now suppose that each unit demanded can be sold for$4. If the demand is not met on time, the sale is lost. Use dynamic programming to maximize the expected profit earned during three periods. Assume that the initial inventory is 0 units. c. In parts (a) and (b), is an (s, S) policy optimal?

Round each number to four significant figures. 0.004384010 cm

Write the general form of the equation of the line that passes through the points. $(2, 7), (3, 10)$

Express the sine of $30.0^{\circ}$ with the correct number of significant figures.

Use the SMPLX program on your calculator to solve the following linear programming problem: Maximize $z=52 x_{1}+54 x_{2}+48 x_{3}+x_{4}$, subject to

$$\begin{array}{c}{50 x_{1}+60 x_{2}+40 x_{3}+x_{4} \leq 660} \\ {5 x_{1}+2 x_{2}+4 x_{3}+3 x_{4} \leq 40} \\ {6 x_{1}+4 x_{2}+8 x_{3}+5 x_{4} \leq 60} \\ {x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0, x_{4} \geq 0}\end{array}$$

Are two figures that have the same size and shape similar? Explain.

Round each figure to three significant figures. 3.8754 kg

Round each number to four significant figures. 38.5432 g