Atent manufacturer makes a standard model and an expedition model. each standard tent requires 1 labor-hour from the cutting department and 3 labor-hours from the assembly department. each expedition tent requires 2 labor-hours from the cutting department and 4 labor-hours from the assembly department. the maximum labor-hours available per day in the cutting department and the assembly department are 24 and 60, respectively.

the company makes a profit of $51 on each standard tent and $71 on each expedition tent.

let x = standard tents
let y = expedition tents

then x + 2y < 24
and 3x + 4y < 60.

the graph of these functions is shown to the right. since a negative number of tents cannot be produced, both x and y have to be greater than zero.

profit function:
p = $51x + $71y
what is the maximum potential profit for tent sales?
a. $852
b. $1,065
c. $1,020
d. $1,038

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)