Set 3

Toko Maju receives cooking oil shipments from three suppliers for resale with the following schedule:

On April $1$, $2023$, the store received shipments of cooking oil brands A, B, and C simultaneously for the first time.

The total volume of cooking oil brands A and B received by Toko Maju during April $2023$ is...

A grocery store owner bought $5$ sacks of rice for $\text{Rp}650,000.00$. Each sack is labeled with a gross weight (bruto) of $50 \text{ kg}$ and a tare (tara) of $1\%$. The rice is sold at $\text{Rp}2,000.00$ per $\text{kg}$.

If all the rice is sold, the merchant incurs a loss of...

A fruit merchant bought $1$ crate of watermelons with a gross weight of $100 \text{ kg}$ and a tare of $5\%$. $60 \text{ kg}$ of the watermelons were sold at $\text{Rp}5,000.00$ per $\text{kg}$, $20 \text{ kg}$ were sold at $\text{Rp}4,000.00$ per $\text{kg}$, and the rest were sold at $\text{Rp}3,000.00$ per $\text{kg}$. From these sales, the merchant made a $70\%$ profit.

The purchase price for one crate of watermelons was...

A cylindrical packaged drink has a radius that is half of its height. If the full capacity of the package is $\frac{729\pi}{4} \text{ cm}^3$.

Then the height of the package is...

A cylindrical packaged drink has a radius that is half of its height. If the full capacity of the package is $\frac{729\pi}{4} \text{ cm}^3$.

Then the ratio of the volume to the cylindrical lateral surface area is...

Supri is contracted to work at a drink shop for $7$ days. Before starting, he is asked to choose between being paid $\text{Rp}75,000.00$ per day for a week, or being paid $\text{Rp}10,000.00$ on the first day with the amount doubling every day for a week.

Which is the best option for Supri to maximize his salary?

Mrs. Laras owns a cake shop. Because the cakes sold are very delicious and nutritious, many new buyers arrive every day to buy cakes. So her business is getting more popular, and her profits are increasing with a constant increment value. If the total profit up to the $4$th day is $\text{Rp}700,000.00$ and the total profit up to the $10$th day is $\text{Rp}2,200,000.00$.

Then the total profit up to the $20$th day is...

The cost function for a product is given by $B(x) = 360 + 40x + 0.1x^2$ and the revenue function is given by $P(x) = 60x$, where $x$ is the number of product units.

The break-even point will occur when the number of products is... Units.

A tank is filled with water through a tap. At the bottom of the tank, there is a small hole through which water flows out. Suppose the volume of water filling the tank from the tap is expressed by the function:

While the volume of water flowing out is expressed by the function:

Where $t$ is time in minutes.

Determine the time when the volume of water entering equals the water flowing out!

A bag contains $4$ green balls and $5$ black balls. If two balls are drawn from the bag without replacement, the probability that both balls are green is...

A conference is attended by $7$ countries: Armenia, Belgium, China, Denmark, Ecuador, Finland, and Ghana. The flags of each country will be flown on flagpoles arranged in a single row. How many ways can the $7$ flags be arranged so that Armenia and Belgium are at the ends?

A library operates from Monday to Saturday. According to the librarian's data, the ratio of visitors on Monday, Tuesday, and Wednesday is $3 : 4 : 5$. If the total number of visitors for these three days is $144$, then the number of visitors on Monday is....

A library operates from Monday to Saturday. On Thursday, Friday, and Saturday, the proportion of visitors is $3 : x : 5$. The total number of visitors for these three days is $120$, with $24$ visitors on Friday. The value of $x$ is....

Amri's money is $\text{Rp}20,000.00$ more than Beni's money plus twice Dimas's money. The total amount of money Amri, Beni, and Dimas have is $\text{Rp}100,000.00$. The difference between Beni's and Dimas's money is $\text{Rp}5,000.00$. Amri's money is....

There are $3$ machines in a printing shop. If a job is done by machine I, machine II, and machine III, the work will be completed in $16$ minutes, $32$ minutes, and $32$ minutes, respectively. If the three machines are used together for $6$ minutes, then the printing job completed is....

A company produces food and beverages. Product sales are conducted by two predetermined groups of agents. For food sales, there are $20$ agents, while for beverage sales, there are $40$ agents. The total profit of all agents in the last month amounted to $\text{Rp}360,000,000.00$. If the average profit of agents selling food is twice the average profit of agents selling beverage products, then the average profit of agents selling food products is....

A data set consists of four natural numbers sorted from smallest to largest. The data has the same median and mean value, which is $8$. If the difference between the largest and smallest datum is $10$ and the mode is unique, then the product of the second and fourth datum is....

A helicopter is about to park on a helipad on top of a building. The building has a height of $16$ meters. In front of the base of the building, a man stands with a shadow length of $x$. The distance from the building to the man is $32$ meters.

From the tip of the shadow, an angle of elevation of $30^\circ$ is formed to the top of the building and $45^\circ$ to the helicopter's position. If the inclined lines represent the line of sight to the top of the building and the helicopter, then the height of the helicopter from the helipad is... meters.

A fishing boat moves from an initial position towards a pier for a distance of $2\text{ km}$. An observer on the boat observes the top of a hill with an elevation angle of $37^\circ$. The distance from the observer to the top of the hill at that time is $12\text{ km}$. When arriving at the pier, the observation elevation angle changes to $53^\circ$.

What is the distance from the base of the hill to the end of the pier?

Given:

Toko Maju receives shipments of cooking oil from three suppliers for resale with the following schedule:

On April $1$, $2023$, the shop received shipments of oil brands $A$, $B$, and $C$ simultaneously for the first time.

What is the number of days in April $2023$ where Toko Maju did not receive any shipments of oil $A$ or $B$?