Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.
The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
According to the question;
- the r-axis is the horizontal axis.
- the s-axis is the vertical axis.
Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).
- i.e s = 0
- the equation r⁴ + s² − r s = 16, then becomes;
- r⁴ = 16
- Therefore, r = ±2.
Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).
- i.e r = 0.
- the equation r⁴ + s² − r s = 16, then becomes;
- s² = 16.
- Therefore, s = ±4.
Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
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Mark Achin's economic order quantity in units is <u>D. 120 units</u>.
<h3>What is economic order quantity?</h3>
The economic order quantity (EOQ) is the optimal order quantity that minimizes the total costs (ordering, receiving, and holding inventory).
The formula for the economic order quantity is the square root of [2(setup costs)(demand rate)] / holding costs.
<h3>Data and Calculations:</h3>
Annual demand = 3,600
Cost price per unit = $200
Ordering cost = $40
Holding cost per unit = $20
Working days per year = 360
Lead time = 5 days
Economic order quantity (EOQ) = square root of: [2(setup costs)(demand rate)] / holding costs.
= square root of (2 x $40 x 3,600)/$20
= 120
Thus, Mark Achin's economic order quantity in units is <u>D. 120 units</u>.
Learn more about the economic order quantity at brainly.com/question/13386271
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