In a specific video game scenario, you are given 1,000 gold. You can either train marines to defend your base at 50 gold a piece or research weapon upgrades at 200 gold per upgrade. The game allows a maximum of three upgrades, and you know that you need at least ten marines trained to survive the next level. Which of the following systems correctly describe the number of marines (m) and the number of upgrades (u) you can train/purchase in the game?

Question

07-02-2020
Mathematics

contestada

In a specific video game scenario, you are given 1,000 gold. You can either train marines to defend your base at 50 gold a piece or research weapon upgrades at 200 gold per upgrade. The game allows a maximum of three upgrades, and you know that you need at least ten marines trained to survive the next level. Which of the following systems correctly describe the number of marines (m) and the number of upgrades (u) you can train/purchase in the game?

Respuesta :

Otras preguntas

In reading the preceding dialogue, it is clear that Natacha believes that her inputs are higher than those of her coworkers but that her coworkers are getting h

Suppose a wire has the same dimensions as in the problem statement, and the temperature coefficient of resistivity is the same as that of gold. What is its resi

Early hunters were challenged to find new source when wooly_____ other large animals died out

Find the equation of the graph that results from reflecting y = x² about the line y = 9.a) y = -x² + 18x - 81b) y = x² - 18x + 81c) y = x² + 18x - 81d) y = -x²

Write the overall formula for the process of cellular respiration.

The isotope ²⁸₁₂Mg has a half-life of 21 hours. If a sample initially contains exactly 10000 atoms of ²⁸₁₂Mg, approximately how many of these atoms will remain

The force F applied at the end of arm ACD, mounted to a vertical post, illustrates which principle of physics? a) Torque b) Inertia c) Velocity d) Acceleration

When you drink a warm glass of milk before bedtime in the hope that it will help you fall asleep, you are demonstrating which goal of research? a) Exploration

When companies pledge accounts receivable as collateral for debt, a disclosure note describes the arrangement. a) True b) False

The possibility of imposing one's will upon the behavior of other persons is also known asA. a public good.B. legitimacy.C. power.D. sovereignty.

Edufirst Edufirst · Answer 1 · 2020-02-14T21:32:13+01:00

Answer:

The system is:

[tex]50m+200u\leq 1,000[/tex]

[tex]u\leq 3[/tex]

[tex]u\geq 0[/tex]

[tex]m\geq 10[/tex]

Step-by-step explanation:

The variables of your equations are:

[tex]m=\text{number of marines}[/tex]

[tex]u=\text{number of upgrades}[/tex]

The constraints, which become inequalities are:

1. The total cost cannot be greater than 1,000 gold

Cost of training m number of marines at 50 gold a piece:

[tex]50m[/tex]

Cost of purchasing u number of research weapon upgrades at 200 gold per upgrade:

[tex]200u[/tex]

Total cost:

[tex]50m+200u[/tex]

The cost is limited to 1,000 gold that you are given:

[tex]50m+200u\leq 1,000[/tex]

That is the first inequality of your system

2. The game allows a maximum of three upgrades:

This sets an upper bound for the variable:

[tex]u\leq 3[/tex]

Add the reasonable constraint that the number of upgrades cannot no be negative:

[tex]u\geq 0[/tex]

3. You know that you need at least ten marines trained to survive

This sets a lower bound for the variable:

[tex]m\geq 10[/tex]

And those are all the four inequalities that form your system to describe the number of marines and the number of upgrades you can train/purchae in the game:

[tex]50m+200u\leq 1,000[/tex]

[tex]u\leq 3[/tex]

[tex]u\geq 0[/tex]

[tex]m\geq 10[/tex]