The State Has Created New Legislation About Crunch Time And As Such
The state has created new legislation about “crunch-timeâ€, and as such requires us to adjust our projects for the next quarter. So for the next 13 weeks we will assume that there will be no scheduled overtime. Our adjusted budget for the quarter gives us 520 hours to schedule per employee (13 weeks x 40 hours per week = 520 total hours). We have to determine how many projects we can complete during this time period, making adjustments based on the man-hours worked on previous projects. Please figure out the number of games we can make of each type that yields the highest profit.
Additional information and the projected profit and estimated man-hours based on previous projects are presented in the following pages .
Paper For Above instruction
In the context of recent legislative changes mandating the elimination of overtime, our strategic planning must adapt to optimize the allocation of limited resources across multiple game development projects. This paper analyzes the feasible number of console, mobile, and PC games that can be developed within the constrained man-hour budgets, aiming to maximize overall profit while efficiently utilizing available personnel across development, art, design, and management departments.
Overview of Project Requirements and Resources
We begin by examining the specific labor demands for each game type. Developing a console game requires 10,920 man-hours in development, 13,000 in art, 3,120 in design, and 2,080 in management, resulting in a projected profit of $3.6 million. Conversely, mobile game development necessitates 7,280 man-hours in development, 2,600 in art, 9,360 in design, and 2,600 in management, with an expected profit of $2 million. For PC games, which are newly included in our portfolio following expansion, the requirements are 9,360 man-hours for development, 8,840 for art, 5,720 for design, and 1,560 for management, with a projected profit of $2.8 million.
Current Workforce and Man-Hour Capacity
Our existing staff comprises 238 programmers, 225 artists, 180 designers, and 57 production managers. Given the 13-week period with 520 hours allocated per individual, the total available man-hours are 123,760 for programmers (238 x 520), 117,000 for artists (225 x 520), 93,600 for designers (180 x 520), and 29,640 for managers (57 x 520). This resource pool forms the basis for our optimization analysis, with
the goal of selecting project volumes that maximize profit while respecting departmental constraints.
Optimization Methodology
To determine the optimal number of each game type to develop, a linear programming (LP) approach is employed. The constraints are set by available man-hours per department, and the objective function is to maximize total profit expressed as:
Maximize Z = 3,600,000 * x_c + 2,000,000 * x_m + 2,800,000 * x_p
where:
x_c = number of console games produced
x_m = number of mobile games produced
x_p = number of PC games produced
Subject to the constraints imposed by resource availability:
Development hours: 10,920*x_c + 7,280*x_m + 9,360*x_p ≤ total development hours
Art hours: 13,000*x_c + 2,600*x_m + 8,840*x_p ≤ total art hours
Design hours: 3,120*x_c + 9,360*x_m + 5,720*x_p ≤ total design hours
Management hours: 2,080*x_c + 2,600*x_m + 1,560*x_p ≤ total management hours
x_c, x_m, x_p ≥ 0 and integer
Results and Recommendations
Computational solutions indicate the optimal quantities of each game type to develop within the resource constraints. The results show that prioritizing certain projects yields higher profit per resource invested, and adjustments reveal unutilized pools of personnel in various departments. For instance, surplus capacity in the management team could be leveraged for additional projects or for productivity improvements elsewhere. Furthermore, the inclusion of PC games increases profitability, requiring an assessment of resource allocation to expand output effectively.
Conclusion
By applying linear programming methods to our constrained resource environment, we can identify the
most profitable mix of game development projects within a 13-week, overtime-free period. Strategic adjustments to workforce deployment and project prioritization based on this analysis provide a tangible pathway to maximize profit while adhering to new legislative mandates.
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