Related questions with answers

A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 labor-hour s for assembling and 2 labor-h ours for finishing. A chair requires 2 labor-hours for assembling and 1 labor-hour for finishing. The maximum labor-hours available p er day for assembly and finishing are 400 and 120, respectively. If x is the number of tables and y is the number of chairs produced per day, write a system of linear inequalities that indicates appropriate restraints on x and y. Find the set of feasible solutions graphically for the number of tables and chairs that can be produced.

The atmospheric pressure on Mars is about 6.75 millibars (1 bar = 100 kPa = 0.9869 atm), and the nighttime temperature can be about

- 75 ^ { \circ } \mathrm { C }

on the same day that the daytime temperature goes up to

- 8 ^ { \circ } \mathrm { C }

. What volume would a bag containing 1.00 g of

H_2

has have at both the daytime and nighttime temperatures?

Find all the tables that have the given characteristic. (A)

\begin{matrix} \text{x} & \text{0} & \text{40} & \text{80} & \text{160}\\ \text{y} & \text{2.2} & \text{2.2} & \text{2.2} & \text{2.2}\\ \end{matrix}

(B)

\begin{matrix} \text{x} & \text{-8} & \text{-4} & \text{0} & \text{8}\\ \text{y} & \text{51} & \text{62} & \text{73} & \text{95}\\ \end{matrix}

(C)

\begin{matrix} \text{x} & \text{-4} & \text{-3} & \text{4} & \text{6}\\ \text{y} & \text{18} & \text{0} & \text{4.5} & \text{-2.25}\\ \end{matrix}

(D)

\begin{matrix} \text{x} & \text{3} & \text{4} & \text{5} & \text{6}\\ \text{y} & \text{18} & \text{9} & \text{4.5} & \text{2.25}\\ \end{matrix}

y could be an exponential function of x.

Question

Discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample. If all payoffs of a matrix game are zero, then the game is fair.

Solution

Verified

Step 1

1 of 2

If all the payoffs are zero then, irrelevant of strategy chosen by any player, neither Player R or Player C will have a profit or loss because all elements are zero.

Therefore the game is fair as it doesn't favor any player

Hence, the statement is $\text{\textcolor{#4257b2}{True}}$