Maximize Resource Allocation Value | Dataford Interview Questions

At Nimbus Compute, you need to allocate a limited resource budget across a set of projects. Each project consumes a certain number of resource units and produces a value. Write a function that returns the maximum total value achievable without exceeding the budget.

This is a classic 0/1 resource allocation problem: each project can be selected at most once.

Formal Specification

Input:
- costs: a list of integers where costs[i] is the resource cost of project i
- values: a list of integers where values[i] is the value gained from project i
- capacity: an integer representing the total available resource units
Output:
- An integer: the maximum total value obtainable without exceeding capacity

Constraints

1 <= len(costs) == len(values) <= 200
0 <= capacity <= 10^4
1 <= costs[i] <= 10^4
0 <= values[i] <= 10^4

Function Signature

def optimal_resource_allocation(costs, values, capacity):

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