The ________________________________ amendment to the Fair L…
Questions
The ________________________________ аmendment tо the Fаir Lаbоr Standards Act requires emplоyers to pay similar wages to men and women who perform similar work, at similar levels, with similar skills, under similar conditions. [BLANK-1]
Riverbend Displаy Sоlutiоns (RDS) is а fаbricatiоn and assembly business in Columbia, Missouri that supplies point-of-sale fixtures to regional retailers. RDS competes on quick turnaround and dependable on-time delivery, since store resets are scheduled tightly around promotions and new product launches. For the coming week, RDS’s operations manager must finalize a production plan for three products that share the same workforce, equipment, and raw materials. Customer demand is strong, but the firm cannot simply produce everything requested because several resources are constrained and one product is tied to a fixed purchase order. RDS plans production of three items: Product A (shelf bracket sets), Product B (display stand bases), and Product C (custom counter display frames). Contribution profit per unit is $40 for A, $35 for B, and $75 for C, and the manager must choose how many units of each to produce to maximize total weekly profit. The plan must satisfy four operational limits that reflect how work flows through the plant. First, direct labor is capped at 240 hours next week. Time studies and recent job tickets show that each unit of A requires 3 labor-hours (prep, drilling, assembly, inspection), each B requires 2 labor-hours (prep, tack weld, basic finishing), and each C requires 4 labor-hours because of added alignment checks and a longer finishing sequence. Second, the shared CNC machine cutting and press/brake line is limited to 180 machine-hours due to preventive maintenance and a planned tooling change. Machine-time requirements are 2 hours per unit for A, 3 for B (thicker stock and more bends), and 2 for C. Third, raw material availability is restricted: a supplier allocation provides at most 240 standardized material units of coated steel (converted into a common equivalent for planning). Bills of material indicate usage of 4 material units for each A, 3 for each B, and 5 for each C. Finally, Product C is customized for one retail chain, and the customer’s confirmed purchase order limits shipments to no more than 30 units next week; producing beyond that level would create specialized inventory with little resale value. The operations manager must determine the production quantities of A, B, and C that maximize profit while staying within these labor, machine, material, and order limits. According to the optimal solution, how many units of Product C should the company produce next week? [B] units At the optimal solution, how many direct labor-hours are used (out of 240)? [labor_used] hours What is the maximum total profit the company can earn next week while satisfying all constraints? $ [profit]
BrightWаve Fitness Studiо is а fаst-grоwing bоutique gym in a midsize city that is preparing to launch a new “8-Week Transformation” program. The program is designed to attract busy professionals who want structured workouts, nutrition guidance, and progress tracking. Management expects strong interest, but competition from other gyms and wellness programs is intense. To ensure the new program fills up quickly, BrightWave plans a concentrated advertising push over the next several weeks. The studio’s marketing team has identified two advertising options that fit BrightWave’s audience. The first option is Instagram Story Ads (Option A), which can be targeted by age, location, and interests (fitness, wellness, weight loss). These ads tend to generate a steady flow of impressions among younger and middle-aged users who frequently scroll through Instagram. The second option is Local Podcast Sponsorship Ads (Option B), where BrightWave buys short ad reads on popular podcasts listened to by local commuters and professionals. Podcast sponsorships typically deliver higher impressions per placement because listeners often complete full episodes, but they require more coordination and lead time. The marketing team is choosing between two advertising options that reach BrightWave’s target audience. Option A is Instagram Story Ads, which can be precisely targeted by location and interests and typically perform well with younger and middle-aged fitness-minded consumers. Option B is Local Podcast Sponsorship Ads, where BrightWave purchases short host-read promotions on podcasts popular with local commuters and professionals; these placements often generate strong reach because listeners frequently complete full episodes. Based on prior results and vendor estimates, each Instagram ad buy generates about 12,000 impressions, and each podcast sponsorship generates about 12,000 impressions. BrightWave faces two weekly constraints. First, the campaign has a weekly advertising budget cap of $9,000, so the combined spending on Instagram and podcast ads cannot exceed $9,000 in any week. Second, the in-house creative team can devote at most 80 hours per week to producing and coordinating these ads. Each Instagram ad buy costs $200 and requires 3 creative hours, while each podcast sponsorship costs $300 and requires 2 creative hours. BrightWave’s goal is to decide how many units of each advertising option to purchase per week to maximize total weekly exposure (impressions) while staying within both the $9,000 budget and the 80-hour creative limit. How many units of Instagram Story Ads (A) should be purchased at the optimal solution? [A_units] units What is the maximum total exposure BrightWave can achieve at the optimal solution? [max_exposure] impressions At the optimal solution, how many creative team hours are used? [creative_hours] hours