TL;DR: According to the Domus Aurea drop data provided for Quetzmas, the increased gold currency efficiency from the Muscle Paradise node saves some AP over the Front Square node, resulting in a few extra boxes (minus the QP for reasons explained below) in exchange for a variable amount of QP.
SUPER TL;DR: DOING MUSCLE PARADISE INSTEAD OF FRONT SQUARE FOR GOLD CURRENCY IS LITERALLY EXTRA LOTTO BOXES (MINUS THE QP)
This method of squeezing out extra lotto boxes should NOT be used if the following scenarios apply to you:
- You want hearts/fluids and don't need soaps.
- You've already finished gold shop (duh).
Sample Scenario w/ Math:
-Gold currency bonus is +1 (friend support CE).
-Lotto currency bonus is +6 (friend support MLB CE included).
-Total gold shop currency needed is 2200 (everything except for lotto CE and pieces/monuments).
Muscle Paradise Calculations:
The gold currency rate is 62.87 + (20.96 * X) drops/run, and each run requires 5 belts (2.5M QP).
Drops/run: 62.87 + 20.96 = 83.83
Number of runs: 2200 / 83.83 = 26.24 (round up to 27)
Number of belts needed: 27 * 5 = 135**
QP cost conversion of belts: 135 * 0.5 (500k QP/belt) = 67.5M QP
** Important note: this means that one would at least need to have 34 boxes first in order to obtain the belts necessary
Front Square Calculations:
The gold currency rate is 31.68 + (13.84 * X) drops/run. The lotto currency rate is 34.73 + (13.16 * X) drops/run (here, X is assumed as +4; 4 lotto CEs are used with a friend gold CE).
Gold Drops/run: 31.68 + 13.84 = 45.52 Number of runs: 2200 / 45.52 = 48.33 (round up to 49)
Lotto Drops/run: 34.73 + (13.16 * 4) = 83.37 Number of drops: 83.37 * 49 = 4281 Number of boxes: 4281 / 600 = ~7 QP gained: 7 * 6.48 = 46.23M QP
The lotto currency rate for lotto node is 44.51 + (16.56 * X) drops/run.
Drops/run: 44.51 + 16.56 * 6 = 143.87
Number of drops: 143.87 * 49 = 7049.63
Number of boxes: 7049.63 / 600 = 11.74 (rounded down to 11)
QP per box: 11 * 6.48 = 71.28M QP
Thus, you've spent 42.45M QP (67.5 +46.23 - 71.28) worth of belts on Muscle Paradise to save 49 runs of Front Square. This means you've gained extra 4 boxes worth of mats, MP, exp, etc (minus the QP).
Link to Atlas Academy Sheets with live values : https://atlasacademy.io/data/