Demand for Container X$-100$ is $100$ per week. There are $52$ weeks per year. The lead time to get new containers is $3$ weeks. The interest rate $($holding cost rate$)$ is $40\%.$ The cost per order is $$67$ and the cost per container is $$27.$ One decimal point for all calculations.

What is the optimal ordering quantity?

a$.$

$359\mathrm{.}2$

b$.$

$284\mathrm{.}0$

c$.$

$254\mathrm{.}0$

d$.$

$2600$

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Pregunta $2$

Sin responder a$$n

Punt$$a como $1\mathrm{.}00$

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What is the annual ordering cost if the optimal ordering quantity is used?

a$.$

$1371\mathrm{.}7$

b$.$

$969\mathrm{.}9$

c$.$

$1226\mathrm{.}8$

d$.$

$1037$

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Pregunta $3$

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Punt$$a como $1\mathrm{.}00$

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What is the total annual cost if the optimal ordering quantity is used?

a$.$

$141984$

b$.$

$145036\mathrm{.}1$

c$.$

$141771\mathrm{.}7$

d$.$

$143143\mathrm{.}3$

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Pregunta $4$

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The supplier offers a $$1$ per unit discount if the order is for $6$ months worth of the demand $(2,600$ units$).$ What is the annual ordering cost in this case?

a$.$

$301\mathrm{.}5$

b$.$

$67\mathrm{.}0$

c$.$

$2600$

d$.$

$134\mathrm{.}0$

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Pregunta $5$

Sin responder a$$n

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What is the total annual cost with the discount?

a$.$

$160294\mathrm{.}0$

b$.$

$148854\mathrm{.}0$

c$.$

$154574\mathrm{.}0$

d$.$

$162374$

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