question 19 (multiple choice worth 1 points) (business costs lc)\na basket manufacturing company produces…

question 19 (multiple choice worth 1 points) (business costs lc)\na basket manufacturing company produces 83,575 woven baskets each year. determine the minimum sales price the company must sell each basket for to make a profit of $100,000, if the total annual fixed costs are $817,363.50 and the variable cost per basket is $12.17.\n$10.98\n$21.95\n$23.15\n$31.76\nquestion 20 (multiple choice worth 1 points) (exponential functions and function combinations mc)\nwhich of the following expressions is equivalent to 2^{3x - 4}?\n\\(\\frac{1^{x}}{8})\\(\\frac{3^{x}}{4})\\(\\frac{6^{x}}{8})\\(\\frac{8^{x}}{16})

question 19 (multiple choice worth 1 points) (business costs lc)\na basket manufacturing company produces 83,575 woven baskets each year. determine the minimum sales price the company must sell each basket for to make a profit of $100,000, if the total annual fixed costs are $817,363.50 and the variable cost per basket is $12.17.\n$10.98\n$21.95\n$23.15\n$31.76\nquestion 20 (multiple choice worth 1 points) (exponential functions and function combinations mc)\nwhich of the following expressions is equivalent to 2^{3x - 4}?\n\\(\\frac{1^{x}}{8})\\(\\frac{3^{x}}{4})\\(\\frac{6^{x}}{8})\\(\\frac{8^{x}}{16})

Answer

Question 19

Answer:

B. $21.95

Explanation:

Step1: Calculate total costs

Total costs = Fixed costs+Variable costs + Profit. Fixed costs = $817,363.50$, variable - cost per basket = $12.17$, number of baskets = $83,575$, and profit = $100,000$. Variable costs = $12.17\times83,575 = 12.17\times83575=1016007.75$. Total costs = $817363.50 + 1016007.75+100000=1933371.25$.

Step2: Calculate minimum sales price

Minimum sales price per basket = $\frac{\text{Total costs}}{\text{Number of baskets}}=\frac{1933371.25}{83575}=21.9488\approx21.95$.

Question 20

Answer:

C. $\frac{8^{x}}{16}$

Explanation:

Step1: Rewrite the exponent

Use the exponent rules. We know that $2^{3x - 4}=2^{3x}\div2^{4}$.

Step2: Simplify using power - of - a - power rule

Since $2^{3x}=(2^{3})^{x}=8^{x}$ and $2^{4}=16$, then $2^{3x - 4}=\frac{8^{x}}{16}$.